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Finding the Fourth Proportional to 3,098.96, 4,275.92 and 1,965

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Solution

The fourth proportional to 3,098.96, 4,275.92 and 1,965 is: 2,711.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.96 : 4,275.92 = 1,965 : x
  2. Step 2: Convert to fraction form
    3,098.96/4,275.92 = 1,965/x
  3. Step 3: Cross multiply
    3,098.96x = 4,275.92 × 1,965
  4. Step 4: Simplify right side
    3,098.96x = 8,402,182.80
  5. Step 5: Solve for x
    x = 8,402,182.80/3,098.96
  6. Step 6: Final answer
    x = 2,711.29

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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.