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Finding the Fourth Proportional to 1,283.80, 1,924.48 and 1,169.67

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Solution

The fourth proportional to 1,283.80, 1,924.48 and 1,169.67 is: 1,753.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.80 : 1,924.48 = 1,169.67 : x
  2. Step 2: Convert to fraction form
    1,283.80/1,924.48 = 1,169.67/x
  3. Step 3: Cross multiply
    1,283.80x = 1,924.48 × 1,169.67
  4. Step 4: Simplify right side
    1,283.80x = 2,251,006.52
  5. Step 5: Solve for x
    x = 2,251,006.52/1,283.80
  6. Step 6: Final answer
    x = 1,753.39

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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.