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Finding the Fourth Proportional to 1,283.20, 1,920.10 and 1,111.88

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Solution

The fourth proportional to 1,283.20, 1,920.10 and 1,111.88 is: 1,663.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.20 : 1,920.10 = 1,111.88 : x
  2. Step 2: Convert to fraction form
    1,283.20/1,920.10 = 1,111.88/x
  3. Step 3: Cross multiply
    1,283.20x = 1,920.10 × 1,111.88
  4. Step 4: Simplify right side
    1,283.20x = 2,134,920.79
  5. Step 5: Solve for x
    x = 2,134,920.79/1,283.20
  6. Step 6: Final answer
    x = 1,663.75

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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.