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Finding the Fourth Proportional to 1,482.24, 2,044.90 and 892.69

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Solution

The fourth proportional to 1,482.24, 2,044.90 and 892.69 is: 1,231.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.24 : 2,044.90 = 892.69 : x
  2. Step 2: Convert to fraction form
    1,482.24/2,044.90 = 892.69/x
  3. Step 3: Cross multiply
    1,482.24x = 2,044.90 × 892.69
  4. Step 4: Simplify right side
    1,482.24x = 1,825,461.78
  5. Step 5: Solve for x
    x = 1,825,461.78/1,482.24
  6. Step 6: Final answer
    x = 1,231.56

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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.