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Finding the Fourth Proportional to 1,371.40, 2,053.08 and 849.83

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Solution

The fourth proportional to 1,371.40, 2,053.08 and 849.83 is: 1,272.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.40 : 2,053.08 = 849.83 : x
  2. Step 2: Convert to fraction form
    1,371.40/2,053.08 = 849.83/x
  3. Step 3: Cross multiply
    1,371.40x = 2,053.08 × 849.83
  4. Step 4: Simplify right side
    1,371.40x = 1,744,758.71
  5. Step 5: Solve for x
    x = 1,744,758.71/1,371.40
  6. Step 6: Final answer
    x = 1,272.25

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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.