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Finding the Fourth Proportional to 3,254.28, 4,882.70 and 1,429

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Solution

The fourth proportional to 3,254.28, 4,882.70 and 1,429 is: 2,144.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.28 : 4,882.70 = 1,429 : x
  2. Step 2: Convert to fraction form
    3,254.28/4,882.70 = 1,429/x
  3. Step 3: Cross multiply
    3,254.28x = 4,882.70 × 1,429
  4. Step 4: Simplify right side
    3,254.28x = 6,977,378.30
  5. Step 5: Solve for x
    x = 6,977,378.30/3,254.28
  6. Step 6: Final answer
    x = 2,144.06

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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.