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Finding the Fourth Proportional to 2,882.99, 4,320.08 and 1,496.78

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Solution

The fourth proportional to 2,882.99, 4,320.08 and 1,496.78 is: 2,242.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.99 : 4,320.08 = 1,496.78 : x
  2. Step 2: Convert to fraction form
    2,882.99/4,320.08 = 1,496.78/x
  3. Step 3: Cross multiply
    2,882.99x = 4,320.08 × 1,496.78
  4. Step 4: Simplify right side
    2,882.99x = 6,466,180.26
  5. Step 5: Solve for x
    x = 6,466,180.26/2,882.99
  6. Step 6: Final answer
    x = 2,242.88

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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.