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Finding the Fourth Proportional to 1,920.39, 2,649.78 and 1,134.57

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Solution

The fourth proportional to 1,920.39, 2,649.78 and 1,134.57 is: 1,565.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.39 : 2,649.78 = 1,134.57 : x
  2. Step 2: Convert to fraction form
    1,920.39/2,649.78 = 1,134.57/x
  3. Step 3: Cross multiply
    1,920.39x = 2,649.78 × 1,134.57
  4. Step 4: Simplify right side
    1,920.39x = 3,006,360.89
  5. Step 5: Solve for x
    x = 3,006,360.89/1,920.39
  6. Step 6: Final answer
    x = 1,565.49

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