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Finding the Fourth Proportional to 2,038.09, 3,057.24 and 577.13

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Solution

The fourth proportional to 2,038.09, 3,057.24 and 577.13 is: 865.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.09 : 3,057.24 = 577.13 : x
  2. Step 2: Convert to fraction form
    2,038.09/3,057.24 = 577.13/x
  3. Step 3: Cross multiply
    2,038.09x = 3,057.24 × 577.13
  4. Step 4: Simplify right side
    2,038.09x = 1,764,411.80
  5. Step 5: Solve for x
    x = 1,764,411.80/2,038.09
  6. Step 6: Final answer
    x = 865.72

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