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Finding the Fourth Proportional to 2,038.92, 2,813.49 and 1,154.58

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Solution

The fourth proportional to 2,038.92, 2,813.49 and 1,154.58 is: 1,593.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.92 : 2,813.49 = 1,154.58 : x
  2. Step 2: Convert to fraction form
    2,038.92/2,813.49 = 1,154.58/x
  3. Step 3: Cross multiply
    2,038.92x = 2,813.49 × 1,154.58
  4. Step 4: Simplify right side
    2,038.92x = 3,248,399.28
  5. Step 5: Solve for x
    x = 3,248,399.28/2,038.92
  6. Step 6: Final answer
    x = 1,593.20

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