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Finding the Fourth Proportional to 1,610.91, 2,416.21 and 624.19

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Solution

The fourth proportional to 1,610.91, 2,416.21 and 624.19 is: 936.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.91 : 2,416.21 = 624.19 : x
  2. Step 2: Convert to fraction form
    1,610.91/2,416.21 = 624.19/x
  3. Step 3: Cross multiply
    1,610.91x = 2,416.21 × 624.19
  4. Step 4: Simplify right side
    1,610.91x = 1,508,174.12
  5. Step 5: Solve for x
    x = 1,508,174.12/1,610.91
  6. Step 6: Final answer
    x = 936.22

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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.