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Finding the Fourth Proportional to 2,474.61, 3,417.25 and 1,591.94

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Solution

The fourth proportional to 2,474.61, 3,417.25 and 1,591.94 is: 2,198.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.61 : 3,417.25 = 1,591.94 : x
  2. Step 2: Convert to fraction form
    2,474.61/3,417.25 = 1,591.94/x
  3. Step 3: Cross multiply
    2,474.61x = 3,417.25 × 1,591.94
  4. Step 4: Simplify right side
    2,474.61x = 5,440,056.97
  5. Step 5: Solve for x
    x = 5,440,056.97/2,474.61
  6. Step 6: Final answer
    x = 2,198.35

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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.