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Finding the Fourth Proportional to 2,461.59, 3,691.53 and 817.74

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Solution

The fourth proportional to 2,461.59, 3,691.53 and 817.74 is: 1,226.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.59 : 3,691.53 = 817.74 : x
  2. Step 2: Convert to fraction form
    2,461.59/3,691.53 = 817.74/x
  3. Step 3: Cross multiply
    2,461.59x = 3,691.53 × 817.74
  4. Step 4: Simplify right side
    2,461.59x = 3,018,711.74
  5. Step 5: Solve for x
    x = 3,018,711.74/2,461.59
  6. Step 6: Final answer
    x = 1,226.33

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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.