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Finding the Fourth Proportional to 2,989.71, 4,116.41 and 2,540.64

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Solution

The fourth proportional to 2,989.71, 4,116.41 and 2,540.64 is: 3,498.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.71 : 4,116.41 = 2,540.64 : x
  2. Step 2: Convert to fraction form
    2,989.71/4,116.41 = 2,540.64/x
  3. Step 3: Cross multiply
    2,989.71x = 4,116.41 × 2,540.64
  4. Step 4: Simplify right side
    2,989.71x = 10,458,315.90
  5. Step 5: Solve for x
    x = 10,458,315.90/2,989.71
  6. Step 6: Final answer
    x = 3,498.10

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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.