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Finding the Fourth Proportional to 1,777.42, 2,671.45 and 1,471.24

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Solution

The fourth proportional to 1,777.42, 2,671.45 and 1,471.24 is: 2,211.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.42 : 2,671.45 = 1,471.24 : x
  2. Step 2: Convert to fraction form
    1,777.42/2,671.45 = 1,471.24/x
  3. Step 3: Cross multiply
    1,777.42x = 2,671.45 × 1,471.24
  4. Step 4: Simplify right side
    1,777.42x = 3,930,344.10
  5. Step 5: Solve for x
    x = 3,930,344.10/1,777.42
  6. Step 6: Final answer
    x = 2,211.26

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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.