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Finding the Fourth Proportional to 3,144.15, 4,721.09 and 1,686.15

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Solution

The fourth proportional to 3,144.15, 4,721.09 and 1,686.15 is: 2,531.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.15 : 4,721.09 = 1,686.15 : x
  2. Step 2: Convert to fraction form
    3,144.15/4,721.09 = 1,686.15/x
  3. Step 3: Cross multiply
    3,144.15x = 4,721.09 × 1,686.15
  4. Step 4: Simplify right side
    3,144.15x = 7,960,457.47
  5. Step 5: Solve for x
    x = 7,960,457.47/3,144.15
  6. Step 6: Final answer
    x = 2,531.83

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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.