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Finding the Fourth Proportional to 1,920.97, 2,879.51 and 750.24

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Solution

The fourth proportional to 1,920.97, 2,879.51 and 750.24 is: 1,124.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.97 : 2,879.51 = 750.24 : x
  2. Step 2: Convert to fraction form
    1,920.97/2,879.51 = 750.24/x
  3. Step 3: Cross multiply
    1,920.97x = 2,879.51 × 750.24
  4. Step 4: Simplify right side
    1,920.97x = 2,160,323.58
  5. Step 5: Solve for x
    x = 2,160,323.58/1,920.97
  6. Step 6: Final answer
    x = 1,124.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.