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Finding the Fourth Proportional to 2,709.32, 4,063.97 and 953.92

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Solution

The fourth proportional to 2,709.32, 4,063.97 and 953.92 is: 1,430.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.32 : 4,063.97 = 953.92 : x
  2. Step 2: Convert to fraction form
    2,709.32/4,063.97 = 953.92/x
  3. Step 3: Cross multiply
    2,709.32x = 4,063.97 × 953.92
  4. Step 4: Simplify right side
    2,709.32x = 3,876,677.17
  5. Step 5: Solve for x
    x = 3,876,677.17/2,709.32
  6. Step 6: Final answer
    x = 1,430.87

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Why These Related Problems?

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