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Finding the Fourth Proportional to 2,064.48, 3,097.26 and 893.85

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Solution

The fourth proportional to 2,064.48, 3,097.26 and 893.85 is: 1,341.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.48 : 3,097.26 = 893.85 : x
  2. Step 2: Convert to fraction form
    2,064.48/3,097.26 = 893.85/x
  3. Step 3: Cross multiply
    2,064.48x = 3,097.26 × 893.85
  4. Step 4: Simplify right side
    2,064.48x = 2,768,485.85
  5. Step 5: Solve for x
    x = 2,768,485.85/2,064.48
  6. Step 6: Final answer
    x = 1,341.01

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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.