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Finding the Fourth Proportional to 2,471.25, 3,410.93 and 1,423.92

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Solution

The fourth proportional to 2,471.25, 3,410.93 and 1,423.92 is: 1,965.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.25 : 3,410.93 = 1,423.92 : x
  2. Step 2: Convert to fraction form
    2,471.25/3,410.93 = 1,423.92/x
  3. Step 3: Cross multiply
    2,471.25x = 3,410.93 × 1,423.92
  4. Step 4: Simplify right side
    2,471.25x = 4,856,895.01
  5. Step 5: Solve for x
    x = 4,856,895.01/2,471.25
  6. Step 6: Final answer
    x = 1,965.36

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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.