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Finding the Fourth Proportional to 1,937.92, 2,673.20 and 1,151.84

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Solution

The fourth proportional to 1,937.92, 2,673.20 and 1,151.84 is: 1,588.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.92 : 2,673.20 = 1,151.84 : x
  2. Step 2: Convert to fraction form
    1,937.92/2,673.20 = 1,151.84/x
  3. Step 3: Cross multiply
    1,937.92x = 2,673.20 × 1,151.84
  4. Step 4: Simplify right side
    1,937.92x = 3,079,098.69
  5. Step 5: Solve for x
    x = 3,079,098.69/1,937.92
  6. Step 6: Final answer
    x = 1,588.87

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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.