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Finding the Fourth Proportional to 2,024.92, 3,037.38 and 564.14

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Solution

The fourth proportional to 2,024.92, 3,037.38 and 564.14 is: 846.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.92 : 3,037.38 = 564.14 : x
  2. Step 2: Convert to fraction form
    2,024.92/3,037.38 = 564.14/x
  3. Step 3: Cross multiply
    2,024.92x = 3,037.38 × 564.14
  4. Step 4: Simplify right side
    2,024.92x = 1,713,507.55
  5. Step 5: Solve for x
    x = 1,713,507.55/2,024.92
  6. Step 6: Final answer
    x = 846.21

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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.