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Finding the Fourth Proportional to 1,471.97, 2,018.15 and 1,445.65

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Solution

The fourth proportional to 1,471.97, 2,018.15 and 1,445.65 is: 1,982.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.97 : 2,018.15 = 1,445.65 : x
  2. Step 2: Convert to fraction form
    1,471.97/2,018.15 = 1,445.65/x
  3. Step 3: Cross multiply
    1,471.97x = 2,018.15 × 1,445.65
  4. Step 4: Simplify right side
    1,471.97x = 2,917,531.70
  5. Step 5: Solve for x
    x = 2,917,531.70/1,471.97
  6. Step 6: Final answer
    x = 1,982.06

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.