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Finding the Fourth Proportional to 1,965.35, 2,948.12 and 732.47

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Solution

The fourth proportional to 1,965.35, 2,948.12 and 732.47 is: 1,098.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.35 : 2,948.12 = 732.47 : x
  2. Step 2: Convert to fraction form
    1,965.35/2,948.12 = 732.47/x
  3. Step 3: Cross multiply
    1,965.35x = 2,948.12 × 732.47
  4. Step 4: Simplify right side
    1,965.35x = 2,159,391.05
  5. Step 5: Solve for x
    x = 2,159,391.05/1,965.35
  6. Step 6: Final answer
    x = 1,098.73

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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.