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Finding the Fourth Proportional to 2,183.39, 3,275.37 and 702.17

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Solution

The fourth proportional to 2,183.39, 3,275.37 and 702.17 is: 1,053.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.39 : 3,275.37 = 702.17 : x
  2. Step 2: Convert to fraction form
    2,183.39/3,275.37 = 702.17/x
  3. Step 3: Cross multiply
    2,183.39x = 3,275.37 × 702.17
  4. Step 4: Simplify right side
    2,183.39x = 2,299,862.83
  5. Step 5: Solve for x
    x = 2,299,862.83/2,183.39
  6. Step 6: Final answer
    x = 1,053.34

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