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Finding the Fourth Proportional to 3,294.74, 4,546.72 and 1,802.63

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Solution

The fourth proportional to 3,294.74, 4,546.72 and 1,802.63 is: 2,487.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.74 : 4,546.72 = 1,802.63 : x
  2. Step 2: Convert to fraction form
    3,294.74/4,546.72 = 1,802.63/x
  3. Step 3: Cross multiply
    3,294.74x = 4,546.72 × 1,802.63
  4. Step 4: Simplify right side
    3,294.74x = 8,196,053.87
  5. Step 5: Solve for x
    x = 8,196,053.87/3,294.74
  6. Step 6: Final answer
    x = 2,487.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.