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Finding the Fourth Proportional to 2,706.90, 4,055.49 and 2,561.10

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Solution

The fourth proportional to 2,706.90, 4,055.49 and 2,561.10 is: 3,837.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.90 : 4,055.49 = 2,561.10 : x
  2. Step 2: Convert to fraction form
    2,706.90/4,055.49 = 2,561.10/x
  3. Step 3: Cross multiply
    2,706.90x = 4,055.49 × 2,561.10
  4. Step 4: Simplify right side
    2,706.90x = 10,386,515.44
  5. Step 5: Solve for x
    x = 10,386,515.44/2,706.90
  6. Step 6: Final answer
    x = 3,837.05

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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.