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Finding the Fourth Proportional to 3,294.68, 4,546.58 and 1,802.56

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Solution

The fourth proportional to 3,294.68, 4,546.58 and 1,802.56 is: 2,487.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.68 : 4,546.58 = 1,802.56 : x
  2. Step 2: Convert to fraction form
    3,294.68/4,546.58 = 1,802.56/x
  3. Step 3: Cross multiply
    3,294.68x = 4,546.58 × 1,802.56
  4. Step 4: Simplify right side
    3,294.68x = 8,195,483.24
  5. Step 5: Solve for x
    x = 8,195,483.24/3,294.68
  6. Step 6: Final answer
    x = 2,487.49

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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.