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Finding the Fourth Proportional to 1,632.53, 2,447.65 and 852.97

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Solution

The fourth proportional to 1,632.53, 2,447.65 and 852.97 is: 1,278.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.53 : 2,447.65 = 852.97 : x
  2. Step 2: Convert to fraction form
    1,632.53/2,447.65 = 852.97/x
  3. Step 3: Cross multiply
    1,632.53x = 2,447.65 × 852.97
  4. Step 4: Simplify right side
    1,632.53x = 2,087,772.02
  5. Step 5: Solve for x
    x = 2,087,772.02/1,632.53
  6. Step 6: Final answer
    x = 1,278.86

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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.