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Finding the Fourth Proportional to 1,952.42, 2,691.79 and 1,421.38

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Solution

The fourth proportional to 1,952.42, 2,691.79 and 1,421.38 is: 1,959.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.42 : 2,691.79 = 1,421.38 : x
  2. Step 2: Convert to fraction form
    1,952.42/2,691.79 = 1,421.38/x
  3. Step 3: Cross multiply
    1,952.42x = 2,691.79 × 1,421.38
  4. Step 4: Simplify right side
    1,952.42x = 3,826,056.28
  5. Step 5: Solve for x
    x = 3,826,056.28/1,952.42
  6. Step 6: Final answer
    x = 1,959.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.