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Finding the Fourth Proportional to 2,471.42, 3,407.67 and 2,052.26

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Solution

The fourth proportional to 2,471.42, 3,407.67 and 2,052.26 is: 2,829.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.42 : 3,407.67 = 2,052.26 : x
  2. Step 2: Convert to fraction form
    2,471.42/3,407.67 = 2,052.26/x
  3. Step 3: Cross multiply
    2,471.42x = 3,407.67 × 2,052.26
  4. Step 4: Simplify right side
    2,471.42x = 6,993,424.83
  5. Step 5: Solve for x
    x = 6,993,424.83/2,471.42
  6. Step 6: Final answer
    x = 2,829.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.