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Finding the Fourth Proportional to 1,540.71, 2,310.18 and 1,410.09

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Solution

The fourth proportional to 1,540.71, 2,310.18 and 1,410.09 is: 2,114.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.71 : 2,310.18 = 1,410.09 : x
  2. Step 2: Convert to fraction form
    1,540.71/2,310.18 = 1,410.09/x
  3. Step 3: Cross multiply
    1,540.71x = 2,310.18 × 1,410.09
  4. Step 4: Simplify right side
    1,540.71x = 3,257,561.72
  5. Step 5: Solve for x
    x = 3,257,561.72/1,540.71
  6. Step 6: Final answer
    x = 2,114.33

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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.