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Finding the Fourth Proportional to 1,610.80, 2,416.38 and 514.91

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Solution

The fourth proportional to 1,610.80, 2,416.38 and 514.91 is: 772.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.80 : 2,416.38 = 514.91 : x
  2. Step 2: Convert to fraction form
    1,610.80/2,416.38 = 514.91/x
  3. Step 3: Cross multiply
    1,610.80x = 2,416.38 × 514.91
  4. Step 4: Simplify right side
    1,610.80x = 1,244,218.23
  5. Step 5: Solve for x
    x = 1,244,218.23/1,610.80
  6. Step 6: Final answer
    x = 772.42

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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.