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Finding the Fourth Proportional to 1,663.92, 2,296.08 and 965.16

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Solution

The fourth proportional to 1,663.92, 2,296.08 and 965.16 is: 1,331.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.92 : 2,296.08 = 965.16 : x
  2. Step 2: Convert to fraction form
    1,663.92/2,296.08 = 965.16/x
  3. Step 3: Cross multiply
    1,663.92x = 2,296.08 × 965.16
  4. Step 4: Simplify right side
    1,663.92x = 2,216,084.57
  5. Step 5: Solve for x
    x = 2,216,084.57/1,663.92
  6. Step 6: Final answer
    x = 1,331.85

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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.