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Finding the Fourth Proportional to 2,824.59, 4,253.45 and 2,463.69

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Solution

The fourth proportional to 2,824.59, 4,253.45 and 2,463.69 is: 3,709.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.59 : 4,253.45 = 2,463.69 : x
  2. Step 2: Convert to fraction form
    2,824.59/4,253.45 = 2,463.69/x
  3. Step 3: Cross multiply
    2,824.59x = 4,253.45 × 2,463.69
  4. Step 4: Simplify right side
    2,824.59x = 10,479,188.39
  5. Step 5: Solve for x
    x = 10,479,188.39/2,824.59
  6. Step 6: Final answer
    x = 3,709.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.