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Finding the Fourth Proportional to 2,645.78, 3,642.85 and 2,246.66

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Solution

The fourth proportional to 2,645.78, 3,642.85 and 2,246.66 is: 3,093.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.78 : 3,642.85 = 2,246.66 : x
  2. Step 2: Convert to fraction form
    2,645.78/3,642.85 = 2,246.66/x
  3. Step 3: Cross multiply
    2,645.78x = 3,642.85 × 2,246.66
  4. Step 4: Simplify right side
    2,645.78x = 8,184,221.55
  5. Step 5: Solve for x
    x = 8,184,221.55/2,645.78
  6. Step 6: Final answer
    x = 3,093.31

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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.