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Finding the Fourth Proportional to 1,471.25, 2,206.17 and 855.13

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Solution

The fourth proportional to 1,471.25, 2,206.17 and 855.13 is: 1,282.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.25 : 2,206.17 = 855.13 : x
  2. Step 2: Convert to fraction form
    1,471.25/2,206.17 = 855.13/x
  3. Step 3: Cross multiply
    1,471.25x = 2,206.17 × 855.13
  4. Step 4: Simplify right side
    1,471.25x = 1,886,570.59
  5. Step 5: Solve for x
    x = 1,886,570.59/1,471.25
  6. Step 6: Final answer
    x = 1,282.29

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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.