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Finding the Fourth Proportional to 2,758.86, 3,805.08 and 2,288.66

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Solution

The fourth proportional to 2,758.86, 3,805.08 and 2,288.66 is: 3,156.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.86 : 3,805.08 = 2,288.66 : x
  2. Step 2: Convert to fraction form
    2,758.86/3,805.08 = 2,288.66/x
  3. Step 3: Cross multiply
    2,758.86x = 3,805.08 × 2,288.66
  4. Step 4: Simplify right side
    2,758.86x = 8,708,506.78
  5. Step 5: Solve for x
    x = 8,708,506.78/2,758.86
  6. Step 6: Final answer
    x = 3,156.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.