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Finding the Fourth Proportional to 1,937.68, 2,673.92 and 1,151.76

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Solution

The fourth proportional to 1,937.68, 2,673.92 and 1,151.76 is: 1,589.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.68 : 2,673.92 = 1,151.76 : x
  2. Step 2: Convert to fraction form
    1,937.68/2,673.92 = 1,151.76/x
  3. Step 3: Cross multiply
    1,937.68x = 2,673.92 × 1,151.76
  4. Step 4: Simplify right side
    1,937.68x = 3,079,714.10
  5. Step 5: Solve for x
    x = 3,079,714.10/1,937.68
  6. Step 6: Final answer
    x = 1,589.38

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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.