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Finding the Fourth Proportional to 2,334.22, 3,498.18 and 1,294.18

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Solution

The fourth proportional to 2,334.22, 3,498.18 and 1,294.18 is: 1,939.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.22 : 3,498.18 = 1,294.18 : x
  2. Step 2: Convert to fraction form
    2,334.22/3,498.18 = 1,294.18/x
  3. Step 3: Cross multiply
    2,334.22x = 3,498.18 × 1,294.18
  4. Step 4: Simplify right side
    2,334.22x = 4,527,274.59
  5. Step 5: Solve for x
    x = 4,527,274.59/2,334.22
  6. Step 6: Final answer
    x = 1,939.52

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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.