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Finding the Fourth Proportional to 4,204.32, 6,308.60 and 1,740.90

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Solution

The fourth proportional to 4,204.32, 6,308.60 and 1,740.90 is: 2,612.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204.32 : 6,308.60 = 1,740.90 : x
  2. Step 2: Convert to fraction form
    4,204.32/6,308.60 = 1,740.90/x
  3. Step 3: Cross multiply
    4,204.32x = 6,308.60 × 1,740.90
  4. Step 4: Simplify right side
    4,204.32x = 10,982,641.74
  5. Step 5: Solve for x
    x = 10,982,641.74/4,204.32
  6. Step 6: Final answer
    x = 2,612.23

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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.