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Finding the Fourth Proportional to 1,092.10, 1,641.35 and 951.30

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Solution

The fourth proportional to 1,092.10, 1,641.35 and 951.30 is: 1,429.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.10 : 1,641.35 = 951.30 : x
  2. Step 2: Convert to fraction form
    1,092.10/1,641.35 = 951.30/x
  3. Step 3: Cross multiply
    1,092.10x = 1,641.35 × 951.30
  4. Step 4: Simplify right side
    1,092.10x = 1,561,416.26
  5. Step 5: Solve for x
    x = 1,561,416.26/1,092.10
  6. Step 6: Final answer
    x = 1,429.74

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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.