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Finding the Fourth Proportional to 1,610.74, 2,416.20 and 732.34

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Solution

The fourth proportional to 1,610.74, 2,416.20 and 732.34 is: 1,098.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.74 : 2,416.20 = 732.34 : x
  2. Step 2: Convert to fraction form
    1,610.74/2,416.20 = 732.34/x
  3. Step 3: Cross multiply
    1,610.74x = 2,416.20 × 732.34
  4. Step 4: Simplify right side
    1,610.74x = 1,769,479.91
  5. Step 5: Solve for x
    x = 1,769,479.91/1,610.74
  6. Step 6: Final answer
    x = 1,098.55

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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.