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Finding the Fourth Proportional to 2,641.34, 3,957.15 and 2,349.74

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Solution

The fourth proportional to 2,641.34, 3,957.15 and 2,349.74 is: 3,520.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.34 : 3,957.15 = 2,349.74 : x
  2. Step 2: Convert to fraction form
    2,641.34/3,957.15 = 2,349.74/x
  3. Step 3: Cross multiply
    2,641.34x = 3,957.15 × 2,349.74
  4. Step 4: Simplify right side
    2,641.34x = 9,298,273.64
  5. Step 5: Solve for x
    x = 9,298,273.64/2,641.34
  6. Step 6: Final answer
    x = 3,520.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.