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Finding the Fourth Proportional to 2,400.47, 3,598.31 and 1,014.15

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Solution

The fourth proportional to 2,400.47, 3,598.31 and 1,014.15 is: 1,520.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.47 : 3,598.31 = 1,014.15 : x
  2. Step 2: Convert to fraction form
    2,400.47/3,598.31 = 1,014.15/x
  3. Step 3: Cross multiply
    2,400.47x = 3,598.31 × 1,014.15
  4. Step 4: Simplify right side
    2,400.47x = 3,649,221.02
  5. Step 5: Solve for x
    x = 3,649,221.02/2,400.47
  6. Step 6: Final answer
    x = 1,520.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.