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Finding the Fourth Proportional to 2,335.64, 3,502.33 and 834.15

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Solution

The fourth proportional to 2,335.64, 3,502.33 and 834.15 is: 1,250.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.64 : 3,502.33 = 834.15 : x
  2. Step 2: Convert to fraction form
    2,335.64/3,502.33 = 834.15/x
  3. Step 3: Cross multiply
    2,335.64x = 3,502.33 × 834.15
  4. Step 4: Simplify right side
    2,335.64x = 2,921,468.57
  5. Step 5: Solve for x
    x = 2,921,468.57/2,335.64
  6. Step 6: Final answer
    x = 1,250.82

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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.