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Finding the Fourth Proportional to 2,290.17, 3,430.41 and 1,191.21

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Solution

The fourth proportional to 2,290.17, 3,430.41 and 1,191.21 is: 1,784.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.17 : 3,430.41 = 1,191.21 : x
  2. Step 2: Convert to fraction form
    2,290.17/3,430.41 = 1,191.21/x
  3. Step 3: Cross multiply
    2,290.17x = 3,430.41 × 1,191.21
  4. Step 4: Simplify right side
    2,290.17x = 4,086,338.70
  5. Step 5: Solve for x
    x = 4,086,338.70/2,290.17
  6. Step 6: Final answer
    x = 1,784.29

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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.