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Finding the Fourth Proportional to 2,458.64, 3,687.24 and 2,433.80

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Solution

The fourth proportional to 2,458.64, 3,687.24 and 2,433.80 is: 3,649.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.64 : 3,687.24 = 2,433.80 : x
  2. Step 2: Convert to fraction form
    2,458.64/3,687.24 = 2,433.80/x
  3. Step 3: Cross multiply
    2,458.64x = 3,687.24 × 2,433.80
  4. Step 4: Simplify right side
    2,458.64x = 8,974,004.71
  5. Step 5: Solve for x
    x = 8,974,004.71/2,458.64
  6. Step 6: Final answer
    x = 3,649.99

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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.