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Finding the Fourth Proportional to 3,007.32, 4,149.78 and 1,680.90

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Solution

The fourth proportional to 3,007.32, 4,149.78 and 1,680.90 is: 2,319.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.32 : 4,149.78 = 1,680.90 : x
  2. Step 2: Convert to fraction form
    3,007.32/4,149.78 = 1,680.90/x
  3. Step 3: Cross multiply
    3,007.32x = 4,149.78 × 1,680.90
  4. Step 4: Simplify right side
    3,007.32x = 6,975,365.20
  5. Step 5: Solve for x
    x = 6,975,365.20/3,007.32
  6. Step 6: Final answer
    x = 2,319.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.