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Finding the Fourth Proportional to 1,974.90, 2,726.19 and 1,189.02

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Solution

The fourth proportional to 1,974.90, 2,726.19 and 1,189.02 is: 1,641.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.90 : 2,726.19 = 1,189.02 : x
  2. Step 2: Convert to fraction form
    1,974.90/2,726.19 = 1,189.02/x
  3. Step 3: Cross multiply
    1,974.90x = 2,726.19 × 1,189.02
  4. Step 4: Simplify right side
    1,974.90x = 3,241,494.43
  5. Step 5: Solve for x
    x = 3,241,494.43/1,974.90
  6. Step 6: Final answer
    x = 1,641.35

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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.