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Finding the Fourth Proportional to 2,321.46, 3,478.01 and 1,539.61

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Solution

The fourth proportional to 2,321.46, 3,478.01 and 1,539.61 is: 2,306.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.46 : 3,478.01 = 1,539.61 : x
  2. Step 2: Convert to fraction form
    2,321.46/3,478.01 = 1,539.61/x
  3. Step 3: Cross multiply
    2,321.46x = 3,478.01 × 1,539.61
  4. Step 4: Simplify right side
    2,321.46x = 5,354,762.58
  5. Step 5: Solve for x
    x = 5,354,762.58/2,321.46
  6. Step 6: Final answer
    x = 2,306.64

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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.