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Finding the Fourth Proportional to 2,715.10, 4,067.10 and 2,275.08

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Solution

The fourth proportional to 2,715.10, 4,067.10 and 2,275.08 is: 3,407.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.10 : 4,067.10 = 2,275.08 : x
  2. Step 2: Convert to fraction form
    2,715.10/4,067.10 = 2,275.08/x
  3. Step 3: Cross multiply
    2,715.10x = 4,067.10 × 2,275.08
  4. Step 4: Simplify right side
    2,715.10x = 9,252,977.87
  5. Step 5: Solve for x
    x = 9,252,977.87/2,715.10
  6. Step 6: Final answer
    x = 3,407.97

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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.