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Finding the Fourth Proportional to 2,269.76, 3,131.86 and 1,275.08

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Solution

The fourth proportional to 2,269.76, 3,131.86 and 1,275.08 is: 1,759.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.76 : 3,131.86 = 1,275.08 : x
  2. Step 2: Convert to fraction form
    2,269.76/3,131.86 = 1,275.08/x
  3. Step 3: Cross multiply
    2,269.76x = 3,131.86 × 1,275.08
  4. Step 4: Simplify right side
    2,269.76x = 3,993,372.05
  5. Step 5: Solve for x
    x = 3,993,372.05/2,269.76
  6. Step 6: Final answer
    x = 1,759.38

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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.