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Finding the Fourth Proportional to 2,191.61, 3,023.42 and 1,294.74

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Solution

The fourth proportional to 2,191.61, 3,023.42 and 1,294.74 is: 1,786.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.61 : 3,023.42 = 1,294.74 : x
  2. Step 2: Convert to fraction form
    2,191.61/3,023.42 = 1,294.74/x
  3. Step 3: Cross multiply
    2,191.61x = 3,023.42 × 1,294.74
  4. Step 4: Simplify right side
    2,191.61x = 3,914,542.81
  5. Step 5: Solve for x
    x = 3,914,542.81/2,191.61
  6. Step 6: Final answer
    x = 1,786.15

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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.