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Finding the Fourth Proportional to 1,381.57, 1,906.88 and 940.52

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Solution

The fourth proportional to 1,381.57, 1,906.88 and 940.52 is: 1,298.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.57 : 1,906.88 = 940.52 : x
  2. Step 2: Convert to fraction form
    1,381.57/1,906.88 = 940.52/x
  3. Step 3: Cross multiply
    1,381.57x = 1,906.88 × 940.52
  4. Step 4: Simplify right side
    1,381.57x = 1,793,458.84
  5. Step 5: Solve for x
    x = 1,793,458.84/1,381.57
  6. Step 6: Final answer
    x = 1,298.13

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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.