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Finding the Fourth Proportional to 1,319.71, 1,829.52 and 1,249.49

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Solution

The fourth proportional to 1,319.71, 1,829.52 and 1,249.49 is: 1,732.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.71 : 1,829.52 = 1,249.49 : x
  2. Step 2: Convert to fraction form
    1,319.71/1,829.52 = 1,249.49/x
  3. Step 3: Cross multiply
    1,319.71x = 1,829.52 × 1,249.49
  4. Step 4: Simplify right side
    1,319.71x = 2,285,957.80
  5. Step 5: Solve for x
    x = 2,285,957.80/1,319.71
  6. Step 6: Final answer
    x = 1,732.17

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.