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Finding the Fourth Proportional to 2,288.66, 3,425.90 and 2,253.02

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Solution

The fourth proportional to 2,288.66, 3,425.90 and 2,253.02 is: 3,372.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.66 : 3,425.90 = 2,253.02 : x
  2. Step 2: Convert to fraction form
    2,288.66/3,425.90 = 2,253.02/x
  3. Step 3: Cross multiply
    2,288.66x = 3,425.90 × 2,253.02
  4. Step 4: Simplify right side
    2,288.66x = 7,718,592.82
  5. Step 5: Solve for x
    x = 7,718,592.82/2,288.66
  6. Step 6: Final answer
    x = 3,372.55

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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.