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Finding the Fourth Proportional to 3,380.91, 5,068.92 and 1,531.07

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Solution

The fourth proportional to 3,380.91, 5,068.92 and 1,531.07 is: 2,295.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.91 : 5,068.92 = 1,531.07 : x
  2. Step 2: Convert to fraction form
    3,380.91/5,068.92 = 1,531.07/x
  3. Step 3: Cross multiply
    3,380.91x = 5,068.92 × 1,531.07
  4. Step 4: Simplify right side
    3,380.91x = 7,760,870.75
  5. Step 5: Solve for x
    x = 7,760,870.75/3,380.91
  6. Step 6: Final answer
    x = 2,295.50

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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.