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Finding the Fourth Proportional to 1,219.52, 1,829.17 and 341.94

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Solution

The fourth proportional to 1,219.52, 1,829.17 and 341.94 is: 512.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.52 : 1,829.17 = 341.94 : x
  2. Step 2: Convert to fraction form
    1,219.52/1,829.17 = 341.94/x
  3. Step 3: Cross multiply
    1,219.52x = 1,829.17 × 341.94
  4. Step 4: Simplify right side
    1,219.52x = 625,471.75
  5. Step 5: Solve for x
    x = 625,471.75/1,219.52
  6. Step 6: Final answer
    x = 512.88

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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.