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Finding the Fourth Proportional to 2,391.78, 3,587.16 and 1,092.93

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Solution

The fourth proportional to 2,391.78, 3,587.16 and 1,092.93 is: 1,639.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.78 : 3,587.16 = 1,092.93 : x
  2. Step 2: Convert to fraction form
    2,391.78/3,587.16 = 1,092.93/x
  3. Step 3: Cross multiply
    2,391.78x = 3,587.16 × 1,092.93
  4. Step 4: Simplify right side
    2,391.78x = 3,920,514.78
  5. Step 5: Solve for x
    x = 3,920,514.78/2,391.78
  6. Step 6: Final answer
    x = 1,639.16

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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.