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Finding the Fourth Proportional to 2,721.64, 3,752.58 and 2,301.25

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Solution

The fourth proportional to 2,721.64, 3,752.58 and 2,301.25 is: 3,172.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.64 : 3,752.58 = 2,301.25 : x
  2. Step 2: Convert to fraction form
    2,721.64/3,752.58 = 2,301.25/x
  3. Step 3: Cross multiply
    2,721.64x = 3,752.58 × 2,301.25
  4. Step 4: Simplify right side
    2,721.64x = 8,635,624.73
  5. Step 5: Solve for x
    x = 8,635,624.73/2,721.64
  6. Step 6: Final answer
    x = 3,172.95

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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.