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Finding the Fourth Proportional to 1,834.60, 2,752.17 and 664.69

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Solution

The fourth proportional to 1,834.60, 2,752.17 and 664.69 is: 997.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.60 : 2,752.17 = 664.69 : x
  2. Step 2: Convert to fraction form
    1,834.60/2,752.17 = 664.69/x
  3. Step 3: Cross multiply
    1,834.60x = 2,752.17 × 664.69
  4. Step 4: Simplify right side
    1,834.60x = 1,829,339.88
  5. Step 5: Solve for x
    x = 1,829,339.88/1,834.60
  6. Step 6: Final answer
    x = 997.13

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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.