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Finding the Fourth Proportional to 1,092.72, 1,641.18 and 936.90

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Solution

The fourth proportional to 1,092.72, 1,641.18 and 936.90 is: 1,407.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.72 : 1,641.18 = 936.90 : x
  2. Step 2: Convert to fraction form
    1,092.72/1,641.18 = 936.90/x
  3. Step 3: Cross multiply
    1,092.72x = 1,641.18 × 936.90
  4. Step 4: Simplify right side
    1,092.72x = 1,537,621.54
  5. Step 5: Solve for x
    x = 1,537,621.54/1,092.72
  6. Step 6: Final answer
    x = 1,407.15

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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.