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Finding the Fourth Proportional to 2,471.08, 3,408.95 and 1,422.54

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Solution

The fourth proportional to 2,471.08, 3,408.95 and 1,422.54 is: 1,962.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.08 : 3,408.95 = 1,422.54 : x
  2. Step 2: Convert to fraction form
    2,471.08/3,408.95 = 1,422.54/x
  3. Step 3: Cross multiply
    2,471.08x = 3,408.95 × 1,422.54
  4. Step 4: Simplify right side
    2,471.08x = 4,849,343.58
  5. Step 5: Solve for x
    x = 4,849,343.58/2,471.08
  6. Step 6: Final answer
    x = 1,962.44

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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.