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Finding the Fourth Proportional to 1,381.61, 2,073.78 and 1,124.64

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Solution

The fourth proportional to 1,381.61, 2,073.78 and 1,124.64 is: 1,688.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.61 : 2,073.78 = 1,124.64 : x
  2. Step 2: Convert to fraction form
    1,381.61/2,073.78 = 1,124.64/x
  3. Step 3: Cross multiply
    1,381.61x = 2,073.78 × 1,124.64
  4. Step 4: Simplify right side
    1,381.61x = 2,332,255.94
  5. Step 5: Solve for x
    x = 2,332,255.94/1,381.61
  6. Step 6: Final answer
    x = 1,688.08

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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.