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Finding the Fourth Proportional to 2,527.95, 3,486.38 and 1,643.43

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Solution

The fourth proportional to 2,527.95, 3,486.38 and 1,643.43 is: 2,266.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.95 : 3,486.38 = 1,643.43 : x
  2. Step 2: Convert to fraction form
    2,527.95/3,486.38 = 1,643.43/x
  3. Step 3: Cross multiply
    2,527.95x = 3,486.38 × 1,643.43
  4. Step 4: Simplify right side
    2,527.95x = 5,729,608.16
  5. Step 5: Solve for x
    x = 5,729,608.16/2,527.95
  6. Step 6: Final answer
    x = 2,266.51

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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.