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Finding the Fourth Proportional to 2,643.50, 3,644.72 and 1,697.64

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Solution

The fourth proportional to 2,643.50, 3,644.72 and 1,697.64 is: 2,340.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.50 : 3,644.72 = 1,697.64 : x
  2. Step 2: Convert to fraction form
    2,643.50/3,644.72 = 1,697.64/x
  3. Step 3: Cross multiply
    2,643.50x = 3,644.72 × 1,697.64
  4. Step 4: Simplify right side
    2,643.50x = 6,187,422.46
  5. Step 5: Solve for x
    x = 6,187,422.46/2,643.50
  6. Step 6: Final answer
    x = 2,340.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.