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Finding the Fourth Proportional to 3,124.18, 4,685.91 and 815.86

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Solution

The fourth proportional to 3,124.18, 4,685.91 and 815.86 is: 1,223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.18 : 4,685.91 = 815.86 : x
  2. Step 2: Convert to fraction form
    3,124.18/4,685.91 = 815.86/x
  3. Step 3: Cross multiply
    3,124.18x = 4,685.91 × 815.86
  4. Step 4: Simplify right side
    3,124.18x = 3,823,046.53
  5. Step 5: Solve for x
    x = 3,823,046.53/3,124.18
  6. Step 6: Final answer
    x = 1,223.70

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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.