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Finding the Fourth Proportional to 2,471.13, 3,409.92 and 1,408.95

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Solution

The fourth proportional to 2,471.13, 3,409.92 and 1,408.95 is: 1,944.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.13 : 3,409.92 = 1,408.95 : x
  2. Step 2: Convert to fraction form
    2,471.13/3,409.92 = 1,408.95/x
  3. Step 3: Cross multiply
    2,471.13x = 3,409.92 × 1,408.95
  4. Step 4: Simplify right side
    2,471.13x = 4,804,406.78
  5. Step 5: Solve for x
    x = 4,804,406.78/2,471.13
  6. Step 6: Final answer
    x = 1,944.21

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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.