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Finding the Fourth Proportional to 1,141.96, 1,565.62 and 1,121.20

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Solution

The fourth proportional to 1,141.96, 1,565.62 and 1,121.20 is: 1,537.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.96 : 1,565.62 = 1,121.20 : x
  2. Step 2: Convert to fraction form
    1,141.96/1,565.62 = 1,121.20/x
  3. Step 3: Cross multiply
    1,141.96x = 1,565.62 × 1,121.20
  4. Step 4: Simplify right side
    1,141.96x = 1,755,373.14
  5. Step 5: Solve for x
    x = 1,755,373.14/1,141.96
  6. Step 6: Final answer
    x = 1,537.16

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.