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Finding the Fourth Proportional to 2,643.48, 3,965.49 and 695.82

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Solution

The fourth proportional to 2,643.48, 3,965.49 and 695.82 is: 1,043.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.48 : 3,965.49 = 695.82 : x
  2. Step 2: Convert to fraction form
    2,643.48/3,965.49 = 695.82/x
  3. Step 3: Cross multiply
    2,643.48x = 3,965.49 × 695.82
  4. Step 4: Simplify right side
    2,643.48x = 2,759,267.25
  5. Step 5: Solve for x
    x = 2,759,267.25/2,643.48
  6. Step 6: Final answer
    x = 1,043.80

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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.