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Finding the Fourth Proportional to 1,429.92, 1,972.08 and 1,099.16

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Solution

The fourth proportional to 1,429.92, 1,972.08 and 1,099.16 is: 1,515.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.92 : 1,972.08 = 1,099.16 : x
  2. Step 2: Convert to fraction form
    1,429.92/1,972.08 = 1,099.16/x
  3. Step 3: Cross multiply
    1,429.92x = 1,972.08 × 1,099.16
  4. Step 4: Simplify right side
    1,429.92x = 2,167,631.45
  5. Step 5: Solve for x
    x = 2,167,631.45/1,429.92
  6. Step 6: Final answer
    x = 1,515.91

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Why These Related Problems?

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