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Finding the Fourth Proportional to 1,920.96, 2,881.49 and 750.91

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Solution

The fourth proportional to 1,920.96, 2,881.49 and 750.91 is: 1,126.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.96 : 2,881.49 = 750.91 : x
  2. Step 2: Convert to fraction form
    1,920.96/2,881.49 = 750.91/x
  3. Step 3: Cross multiply
    1,920.96x = 2,881.49 × 750.91
  4. Step 4: Simplify right side
    1,920.96x = 2,163,735.90
  5. Step 5: Solve for x
    x = 2,163,735.90/1,920.96
  6. Step 6: Final answer
    x = 1,126.39

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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.