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Finding the Fourth Proportional to 2,789.16, 4,184.50 and 2,267.86

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Solution

The fourth proportional to 2,789.16, 4,184.50 and 2,267.86 is: 3,402.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.16 : 4,184.50 = 2,267.86 : x
  2. Step 2: Convert to fraction form
    2,789.16/4,184.50 = 2,267.86/x
  3. Step 3: Cross multiply
    2,789.16x = 4,184.50 × 2,267.86
  4. Step 4: Simplify right side
    2,789.16x = 9,489,860.17
  5. Step 5: Solve for x
    x = 9,489,860.17/2,789.16
  6. Step 6: Final answer
    x = 3,402.41

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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.