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Finding the Fourth Proportional to 2,175.46, 3,264.60 and 1,202.24

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Solution

The fourth proportional to 2,175.46, 3,264.60 and 1,202.24 is: 1,804.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.46 : 3,264.60 = 1,202.24 : x
  2. Step 2: Convert to fraction form
    2,175.46/3,264.60 = 1,202.24/x
  3. Step 3: Cross multiply
    2,175.46x = 3,264.60 × 1,202.24
  4. Step 4: Simplify right side
    2,175.46x = 3,924,832.70
  5. Step 5: Solve for x
    x = 3,924,832.70/2,175.46
  6. Step 6: Final answer
    x = 1,804.14

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