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Finding the Fourth Proportional to 1,759.31, 2,637.07 and 1,143.46

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Solution

The fourth proportional to 1,759.31, 2,637.07 and 1,143.46 is: 1,713.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.31 : 2,637.07 = 1,143.46 : x
  2. Step 2: Convert to fraction form
    1,759.31/2,637.07 = 1,143.46/x
  3. Step 3: Cross multiply
    1,759.31x = 2,637.07 × 1,143.46
  4. Step 4: Simplify right side
    1,759.31x = 3,015,374.61
  5. Step 5: Solve for x
    x = 3,015,374.61/1,759.31
  6. Step 6: Final answer
    x = 1,713.95

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