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Finding the Fourth Proportional to 2,577.20, 3,865.35 and 845.83

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Solution

The fourth proportional to 2,577.20, 3,865.35 and 845.83 is: 1,268.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.20 : 3,865.35 = 845.83 : x
  2. Step 2: Convert to fraction form
    2,577.20/3,865.35 = 845.83/x
  3. Step 3: Cross multiply
    2,577.20x = 3,865.35 × 845.83
  4. Step 4: Simplify right side
    2,577.20x = 3,269,428.99
  5. Step 5: Solve for x
    x = 3,269,428.99/2,577.20
  6. Step 6: Final answer
    x = 1,268.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.