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Finding the Fourth Proportional to 1,963.68, 2,708.94 and 1,177.58

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Solution

The fourth proportional to 1,963.68, 2,708.94 and 1,177.58 is: 1,624.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.68 : 2,708.94 = 1,177.58 : x
  2. Step 2: Convert to fraction form
    1,963.68/2,708.94 = 1,177.58/x
  3. Step 3: Cross multiply
    1,963.68x = 2,708.94 × 1,177.58
  4. Step 4: Simplify right side
    1,963.68x = 3,189,993.57
  5. Step 5: Solve for x
    x = 3,189,993.57/1,963.68
  6. Step 6: Final answer
    x = 1,624.50

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