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Finding the Fourth Proportional to 2,643.74, 3,965.63 and 695.94

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Solution

The fourth proportional to 2,643.74, 3,965.63 and 695.94 is: 1,043.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.74 : 3,965.63 = 695.94 : x
  2. Step 2: Convert to fraction form
    2,643.74/3,965.63 = 695.94/x
  3. Step 3: Cross multiply
    2,643.74x = 3,965.63 × 695.94
  4. Step 4: Simplify right side
    2,643.74x = 2,759,850.37
  5. Step 5: Solve for x
    x = 2,759,850.37/2,643.74
  6. Step 6: Final answer
    x = 1,043.92

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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.