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Finding the Fourth Proportional to 2,671.36, 4,001.60 and 2,447.36

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Solution

The fourth proportional to 2,671.36, 4,001.60 and 2,447.36 is: 3,666.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.36 : 4,001.60 = 2,447.36 : x
  2. Step 2: Convert to fraction form
    2,671.36/4,001.60 = 2,447.36/x
  3. Step 3: Cross multiply
    2,671.36x = 4,001.60 × 2,447.36
  4. Step 4: Simplify right side
    2,671.36x = 9,793,355.78
  5. Step 5: Solve for x
    x = 9,793,355.78/2,671.36
  6. Step 6: Final answer
    x = 3,666.06

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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.