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Finding the Fourth Proportional to 1,471.42, 2,196.12 and 1,447.12

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Solution

The fourth proportional to 1,471.42, 2,196.12 and 1,447.12 is: 2,159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.42 : 2,196.12 = 1,447.12 : x
  2. Step 2: Convert to fraction form
    1,471.42/2,196.12 = 1,447.12/x
  3. Step 3: Cross multiply
    1,471.42x = 2,196.12 × 1,447.12
  4. Step 4: Simplify right side
    1,471.42x = 3,178,049.17
  5. Step 5: Solve for x
    x = 3,178,049.17/1,471.42
  6. Step 6: Final answer
    x = 2,159.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.