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Finding the Fourth Proportional to 2,502.63, 3,757.80 and 2,117.69

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Solution

The fourth proportional to 2,502.63, 3,757.80 and 2,117.69 is: 3,179.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.63 : 3,757.80 = 2,117.69 : x
  2. Step 2: Convert to fraction form
    2,502.63/3,757.80 = 2,117.69/x
  3. Step 3: Cross multiply
    2,502.63x = 3,757.80 × 2,117.69
  4. Step 4: Simplify right side
    2,502.63x = 7,957,855.48
  5. Step 5: Solve for x
    x = 7,957,855.48/2,502.63
  6. Step 6: Final answer
    x = 3,179.80

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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.