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Finding the Fourth Proportional to 2,642.94, 3,964.07 and 695.30

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Solution

The fourth proportional to 2,642.94, 3,964.07 and 695.30 is: 1,042.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.94 : 3,964.07 = 695.30 : x
  2. Step 2: Convert to fraction form
    2,642.94/3,964.07 = 695.30/x
  3. Step 3: Cross multiply
    2,642.94x = 3,964.07 × 695.30
  4. Step 4: Simplify right side
    2,642.94x = 2,756,199.79
  5. Step 5: Solve for x
    x = 2,756,199.79/2,642.94
  6. Step 6: Final answer
    x = 1,042.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.