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Finding the Fourth Proportional to 2,326.64, 3,489.06 and 865.46

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Solution

The fourth proportional to 2,326.64, 3,489.06 and 865.46 is: 1,297.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.64 : 3,489.06 = 865.46 : x
  2. Step 2: Convert to fraction form
    2,326.64/3,489.06 = 865.46/x
  3. Step 3: Cross multiply
    2,326.64x = 3,489.06 × 865.46
  4. Step 4: Simplify right side
    2,326.64x = 3,019,641.87
  5. Step 5: Solve for x
    x = 3,019,641.87/2,326.64
  6. Step 6: Final answer
    x = 1,297.86

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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.