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Finding the Fourth Proportional to 3,294.59, 4,546.65 and 1,802.48

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Solution

The fourth proportional to 3,294.59, 4,546.65 and 1,802.48 is: 2,487.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.59 : 4,546.65 = 1,802.48 : x
  2. Step 2: Convert to fraction form
    3,294.59/4,546.65 = 1,802.48/x
  3. Step 3: Cross multiply
    3,294.59x = 4,546.65 × 1,802.48
  4. Step 4: Simplify right side
    3,294.59x = 8,195,222.96
  5. Step 5: Solve for x
    x = 8,195,222.96/3,294.59
  6. Step 6: Final answer
    x = 2,487.48

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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.