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Finding the Fourth Proportional to 2,305.91, 3,456.71 and 1,135.46

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Solution

The fourth proportional to 2,305.91, 3,456.71 and 1,135.46 is: 1,702.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.91 : 3,456.71 = 1,135.46 : x
  2. Step 2: Convert to fraction form
    2,305.91/3,456.71 = 1,135.46/x
  3. Step 3: Cross multiply
    2,305.91x = 3,456.71 × 1,135.46
  4. Step 4: Simplify right side
    2,305.91x = 3,924,963.16
  5. Step 5: Solve for x
    x = 3,924,963.16/2,305.91
  6. Step 6: Final answer
    x = 1,702.13

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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.