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Finding the Fourth Proportional to 3,207.64, 4,429.05 and 2,460.41

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Solution

The fourth proportional to 3,207.64, 4,429.05 and 2,460.41 is: 3,397.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.64 : 4,429.05 = 2,460.41 : x
  2. Step 2: Convert to fraction form
    3,207.64/4,429.05 = 2,460.41/x
  3. Step 3: Cross multiply
    3,207.64x = 4,429.05 × 2,460.41
  4. Step 4: Simplify right side
    3,207.64x = 10,897,266.61
  5. Step 5: Solve for x
    x = 10,897,266.61/3,207.64
  6. Step 6: Final answer
    x = 3,397.28

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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.