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Finding the Fourth Proportional to 2,459.88, 3,687.38 and 815.30

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Solution

The fourth proportional to 2,459.88, 3,687.38 and 815.30 is: 1,222.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.88 : 3,687.38 = 815.30 : x
  2. Step 2: Convert to fraction form
    2,459.88/3,687.38 = 815.30/x
  3. Step 3: Cross multiply
    2,459.88x = 3,687.38 × 815.30
  4. Step 4: Simplify right side
    2,459.88x = 3,006,320.91
  5. Step 5: Solve for x
    x = 3,006,320.91/2,459.88
  6. Step 6: Final answer
    x = 1,222.14

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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.