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Finding the Fourth Proportional to 2,980.78, 4,469.13 and 1,517.10

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Solution

The fourth proportional to 2,980.78, 4,469.13 and 1,517.10 is: 2,274.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.78 : 4,469.13 = 1,517.10 : x
  2. Step 2: Convert to fraction form
    2,980.78/4,469.13 = 1,517.10/x
  3. Step 3: Cross multiply
    2,980.78x = 4,469.13 × 1,517.10
  4. Step 4: Simplify right side
    2,980.78x = 6,780,117.12
  5. Step 5: Solve for x
    x = 6,780,117.12/2,980.78
  6. Step 6: Final answer
    x = 2,274.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.