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Finding the Fourth Proportional to 3,294.20, 4,546 and 1,802.08

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Solution

The fourth proportional to 3,294.20, 4,546 and 1,802.08 is: 2,486.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.20 : 4,546 = 1,802.08 : x
  2. Step 2: Convert to fraction form
    3,294.20/4,546 = 1,802.08/x
  3. Step 3: Cross multiply
    3,294.20x = 4,546 × 1,802.08
  4. Step 4: Simplify right side
    3,294.20x = 8,192,255.68
  5. Step 5: Solve for x
    x = 8,192,255.68/3,294.20
  6. Step 6: Final answer
    x = 2,486.87

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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.