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Finding the Fourth Proportional to 3,154.97, 4,732.46 and 846.53

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Solution

The fourth proportional to 3,154.97, 4,732.46 and 846.53 is: 1,269.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.97 : 4,732.46 = 846.53 : x
  2. Step 2: Convert to fraction form
    3,154.97/4,732.46 = 846.53/x
  3. Step 3: Cross multiply
    3,154.97x = 4,732.46 × 846.53
  4. Step 4: Simplify right side
    3,154.97x = 4,006,165.13
  5. Step 5: Solve for x
    x = 4,006,165.13/3,154.97
  6. Step 6: Final answer
    x = 1,269.80

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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.