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Finding the Fourth Proportional to 2,377.64, 3,551.95 and 2,291.24

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Solution

The fourth proportional to 2,377.64, 3,551.95 and 2,291.24 is: 3,422.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.64 : 3,551.95 = 2,291.24 : x
  2. Step 2: Convert to fraction form
    2,377.64/3,551.95 = 2,291.24/x
  3. Step 3: Cross multiply
    2,377.64x = 3,551.95 × 2,291.24
  4. Step 4: Simplify right side
    2,377.64x = 8,138,369.92
  5. Step 5: Solve for x
    x = 8,138,369.92/2,377.64
  6. Step 6: Final answer
    x = 3,422.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.