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Finding the Fourth Proportional to 1,106.68, 1,537.92 and 1,092.91

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Solution

The fourth proportional to 1,106.68, 1,537.92 and 1,092.91 is: 1,518.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.68 : 1,537.92 = 1,092.91 : x
  2. Step 2: Convert to fraction form
    1,106.68/1,537.92 = 1,092.91/x
  3. Step 3: Cross multiply
    1,106.68x = 1,537.92 × 1,092.91
  4. Step 4: Simplify right side
    1,106.68x = 1,680,808.15
  5. Step 5: Solve for x
    x = 1,680,808.15/1,106.68
  6. Step 6: Final answer
    x = 1,518.78

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.