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Finding the Fourth Proportional to 2,642.85, 3,648.96 and 2,362.23

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Solution

The fourth proportional to 2,642.85, 3,648.96 and 2,362.23 is: 3,261.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.85 : 3,648.96 = 2,362.23 : x
  2. Step 2: Convert to fraction form
    2,642.85/3,648.96 = 2,362.23/x
  3. Step 3: Cross multiply
    2,642.85x = 3,648.96 × 2,362.23
  4. Step 4: Simplify right side
    2,642.85x = 8,619,682.78
  5. Step 5: Solve for x
    x = 8,619,682.78/2,642.85
  6. Step 6: Final answer
    x = 3,261.51

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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.