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Finding the Fourth Proportional to 2,162.47, 3,243.16 and 702.04

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Solution

The fourth proportional to 2,162.47, 3,243.16 and 702.04 is: 1,052.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.47 : 3,243.16 = 702.04 : x
  2. Step 2: Convert to fraction form
    2,162.47/3,243.16 = 702.04/x
  3. Step 3: Cross multiply
    2,162.47x = 3,243.16 × 702.04
  4. Step 4: Simplify right side
    2,162.47x = 2,276,828.05
  5. Step 5: Solve for x
    x = 2,276,828.05/2,162.47
  6. Step 6: Final answer
    x = 1,052.88

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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.