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Finding the Fourth Proportional to 2,400.61, 3,601.42 and 1,014.80

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Solution

The fourth proportional to 2,400.61, 3,601.42 and 1,014.80 is: 1,522.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.61 : 3,601.42 = 1,014.80 : x
  2. Step 2: Convert to fraction form
    2,400.61/3,601.42 = 1,014.80/x
  3. Step 3: Cross multiply
    2,400.61x = 3,601.42 × 1,014.80
  4. Step 4: Simplify right side
    2,400.61x = 3,654,713.98
  5. Step 5: Solve for x
    x = 3,654,713.98/2,400.61
  6. Step 6: Final answer
    x = 1,522.41

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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.