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Finding the Fourth Proportional to 1,489.92, 2,237.40 and 1,428

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Solution

The fourth proportional to 1,489.92, 2,237.40 and 1,428 is: 2,144.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.92 : 2,237.40 = 1,428 : x
  2. Step 2: Convert to fraction form
    1,489.92/2,237.40 = 1,428/x
  3. Step 3: Cross multiply
    1,489.92x = 2,237.40 × 1,428
  4. Step 4: Simplify right side
    1,489.92x = 3,195,007.20
  5. Step 5: Solve for x
    x = 3,195,007.20/1,489.92
  6. Step 6: Final answer
    x = 2,144.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.