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Finding the Fourth Proportional to 2,401.92, 3,314.79 and 1,517.40

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Solution

The fourth proportional to 2,401.92, 3,314.79 and 1,517.40 is: 2,094.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.92 : 3,314.79 = 1,517.40 : x
  2. Step 2: Convert to fraction form
    2,401.92/3,314.79 = 1,517.40/x
  3. Step 3: Cross multiply
    2,401.92x = 3,314.79 × 1,517.40
  4. Step 4: Simplify right side
    2,401.92x = 5,029,862.35
  5. Step 5: Solve for x
    x = 5,029,862.35/2,401.92
  6. Step 6: Final answer
    x = 2,094.10

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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.