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Finding the Fourth Proportional to 2,149.76, 2,965.25 and 1,364.87

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Solution

The fourth proportional to 2,149.76, 2,965.25 and 1,364.87 is: 1,882.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.76 : 2,965.25 = 1,364.87 : x
  2. Step 2: Convert to fraction form
    2,149.76/2,965.25 = 1,364.87/x
  3. Step 3: Cross multiply
    2,149.76x = 2,965.25 × 1,364.87
  4. Step 4: Simplify right side
    2,149.76x = 4,047,159.12
  5. Step 5: Solve for x
    x = 4,047,159.12/2,149.76
  6. Step 6: Final answer
    x = 1,882.61

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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.