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Finding the Fourth Proportional to 3,154.61, 4,732.38 and 1,510.85

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Solution

The fourth proportional to 3,154.61, 4,732.38 and 1,510.85 is: 2,266.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.61 : 4,732.38 = 1,510.85 : x
  2. Step 2: Convert to fraction form
    3,154.61/4,732.38 = 1,510.85/x
  3. Step 3: Cross multiply
    3,154.61x = 4,732.38 × 1,510.85
  4. Step 4: Simplify right side
    3,154.61x = 7,149,892.66
  5. Step 5: Solve for x
    x = 7,149,892.66/3,154.61
  6. Step 6: Final answer
    x = 2,266.49

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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.