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Finding the Fourth Proportional to 1,471.62, 2,196.90 and 1,420.38

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Solution

The fourth proportional to 1,471.62, 2,196.90 and 1,420.38 is: 2,120.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.62 : 2,196.90 = 1,420.38 : x
  2. Step 2: Convert to fraction form
    1,471.62/2,196.90 = 1,420.38/x
  3. Step 3: Cross multiply
    1,471.62x = 2,196.90 × 1,420.38
  4. Step 4: Simplify right side
    1,471.62x = 3,120,432.82
  5. Step 5: Solve for x
    x = 3,120,432.82/1,471.62
  6. Step 6: Final answer
    x = 2,120.41

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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.