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Finding the Fourth Proportional to 2,262.33, 3,392.87 and 702.45

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Solution

The fourth proportional to 2,262.33, 3,392.87 and 702.45 is: 1,053.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.33 : 3,392.87 = 702.45 : x
  2. Step 2: Convert to fraction form
    2,262.33/3,392.87 = 702.45/x
  3. Step 3: Cross multiply
    2,262.33x = 3,392.87 × 702.45
  4. Step 4: Simplify right side
    2,262.33x = 2,383,318.02
  5. Step 5: Solve for x
    x = 2,383,318.02/2,262.33
  6. Step 6: Final answer
    x = 1,053.48

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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.