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Finding the Fourth Proportional to 1,428.52, 1,972.47 and 1,096.42

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Solution

The fourth proportional to 1,428.52, 1,972.47 and 1,096.42 is: 1,513.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.52 : 1,972.47 = 1,096.42 : x
  2. Step 2: Convert to fraction form
    1,428.52/1,972.47 = 1,096.42/x
  3. Step 3: Cross multiply
    1,428.52x = 1,972.47 × 1,096.42
  4. Step 4: Simplify right side
    1,428.52x = 2,162,655.56
  5. Step 5: Solve for x
    x = 2,162,655.56/1,428.52
  6. Step 6: Final answer
    x = 1,513.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.