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Finding the Fourth Proportional to 3,024.86, 4,539.07 and 1,638.16

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Solution

The fourth proportional to 3,024.86, 4,539.07 and 1,638.16 is: 2,458.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.86 : 4,539.07 = 1,638.16 : x
  2. Step 2: Convert to fraction form
    3,024.86/4,539.07 = 1,638.16/x
  3. Step 3: Cross multiply
    3,024.86x = 4,539.07 × 1,638.16
  4. Step 4: Simplify right side
    3,024.86x = 7,435,713.61
  5. Step 5: Solve for x
    x = 7,435,713.61/3,024.86
  6. Step 6: Final answer
    x = 2,458.20

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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.