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Finding the Fourth Proportional to 1,444.02, 2,167.20 and 819.69

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Solution

The fourth proportional to 1,444.02, 2,167.20 and 819.69 is: 1,230.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.02 : 2,167.20 = 819.69 : x
  2. Step 2: Convert to fraction form
    1,444.02/2,167.20 = 819.69/x
  3. Step 3: Cross multiply
    1,444.02x = 2,167.20 × 819.69
  4. Step 4: Simplify right side
    1,444.02x = 1,776,432.17
  5. Step 5: Solve for x
    x = 1,776,432.17/1,444.02
  6. Step 6: Final answer
    x = 1,230.20

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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.