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Finding the Fourth Proportional to 3,442.50, 5,175.90 and 1,802.25

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Solution

The fourth proportional to 3,442.50, 5,175.90 and 1,802.25 is: 2,709.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.50 : 5,175.90 = 1,802.25 : x
  2. Step 2: Convert to fraction form
    3,442.50/5,175.90 = 1,802.25/x
  3. Step 3: Cross multiply
    3,442.50x = 5,175.90 × 1,802.25
  4. Step 4: Simplify right side
    3,442.50x = 9,328,265.78
  5. Step 5: Solve for x
    x = 9,328,265.78/3,442.50
  6. Step 6: Final answer
    x = 2,709.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.