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Finding the Fourth Proportional to 2,577.99, 3,548.59 and 2,245.84

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Solution

The fourth proportional to 2,577.99, 3,548.59 and 2,245.84 is: 3,091.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.99 : 3,548.59 = 2,245.84 : x
  2. Step 2: Convert to fraction form
    2,577.99/3,548.59 = 2,245.84/x
  3. Step 3: Cross multiply
    2,577.99x = 3,548.59 × 2,245.84
  4. Step 4: Simplify right side
    2,577.99x = 7,969,562.11
  5. Step 5: Solve for x
    x = 7,969,562.11/2,577.99
  6. Step 6: Final answer
    x = 3,091.39

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.