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Finding the Fourth Proportional to 2,642.19, 3,963.30 and 694.35

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Solution

The fourth proportional to 2,642.19, 3,963.30 and 694.35 is: 1,041.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.19 : 3,963.30 = 694.35 : x
  2. Step 2: Convert to fraction form
    2,642.19/3,963.30 = 694.35/x
  3. Step 3: Cross multiply
    2,642.19x = 3,963.30 × 694.35
  4. Step 4: Simplify right side
    2,642.19x = 2,751,917.36
  5. Step 5: Solve for x
    x = 2,751,917.36/2,642.19
  6. Step 6: Final answer
    x = 1,041.53

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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.