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Finding the Fourth Proportional to 2,290.95, 3,161.66 and 1,296.27

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Solution

The fourth proportional to 2,290.95, 3,161.66 and 1,296.27 is: 1,788.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.95 : 3,161.66 = 1,296.27 : x
  2. Step 2: Convert to fraction form
    2,290.95/3,161.66 = 1,296.27/x
  3. Step 3: Cross multiply
    2,290.95x = 3,161.66 × 1,296.27
  4. Step 4: Simplify right side
    2,290.95x = 4,098,358.53
  5. Step 5: Solve for x
    x = 4,098,358.53/2,290.95
  6. Step 6: Final answer
    x = 1,788.93

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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.