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Finding the Fourth Proportional to 2,502.73, 3,754.14 and 1,268.65

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Solution

The fourth proportional to 2,502.73, 3,754.14 and 1,268.65 is: 1,903.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.73 : 3,754.14 = 1,268.65 : x
  2. Step 2: Convert to fraction form
    2,502.73/3,754.14 = 1,268.65/x
  3. Step 3: Cross multiply
    2,502.73x = 3,754.14 × 1,268.65
  4. Step 4: Simplify right side
    2,502.73x = 4,762,689.71
  5. Step 5: Solve for x
    x = 4,762,689.71/2,502.73
  6. Step 6: Final answer
    x = 1,903.00

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Why These Related Problems?

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