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Finding the Fourth Proportional to 1,952.86, 2,694.92 and 1,113.54

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Solution

The fourth proportional to 1,952.86, 2,694.92 and 1,113.54 is: 1,536.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.86 : 2,694.92 = 1,113.54 : x
  2. Step 2: Convert to fraction form
    1,952.86/2,694.92 = 1,113.54/x
  3. Step 3: Cross multiply
    1,952.86x = 2,694.92 × 1,113.54
  4. Step 4: Simplify right side
    1,952.86x = 3,000,882.17
  5. Step 5: Solve for x
    x = 3,000,882.17/1,952.86
  6. Step 6: Final answer
    x = 1,536.66

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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.