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Finding the Fourth Proportional to 1,472.82, 2,208.75 and 1,375.75

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Solution

The fourth proportional to 1,472.82, 2,208.75 and 1,375.75 is: 2,063.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.82 : 2,208.75 = 1,375.75 : x
  2. Step 2: Convert to fraction form
    1,472.82/2,208.75 = 1,375.75/x
  3. Step 3: Cross multiply
    1,472.82x = 2,208.75 × 1,375.75
  4. Step 4: Simplify right side
    1,472.82x = 3,038,687.81
  5. Step 5: Solve for x
    x = 3,038,687.81/1,472.82
  6. Step 6: Final answer
    x = 2,063.18

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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.