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Finding the Fourth Proportional to 1,920.51, 2,650.19 and 1,134.81

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Solution

The fourth proportional to 1,920.51, 2,650.19 and 1,134.81 is: 1,565.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.51 : 2,650.19 = 1,134.81 : x
  2. Step 2: Convert to fraction form
    1,920.51/2,650.19 = 1,134.81/x
  3. Step 3: Cross multiply
    1,920.51x = 2,650.19 × 1,134.81
  4. Step 4: Simplify right side
    1,920.51x = 3,007,456.44
  5. Step 5: Solve for x
    x = 3,007,456.44/1,920.51
  6. Step 6: Final answer
    x = 1,565.97

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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.