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Finding the Fourth Proportional to 1,249.80, 1,871.19 and 943.08

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Solution

The fourth proportional to 1,249.80, 1,871.19 and 943.08 is: 1,411.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.80 : 1,871.19 = 943.08 : x
  2. Step 2: Convert to fraction form
    1,249.80/1,871.19 = 943.08/x
  3. Step 3: Cross multiply
    1,249.80x = 1,871.19 × 943.08
  4. Step 4: Simplify right side
    1,249.80x = 1,764,681.87
  5. Step 5: Solve for x
    x = 1,764,681.87/1,249.80
  6. Step 6: Final answer
    x = 1,411.97

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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.