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Finding the Fourth Proportional to 2,670.24, 3,680.04 and 1,772.38

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Solution

The fourth proportional to 2,670.24, 3,680.04 and 1,772.38 is: 2,442.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.24 : 3,680.04 = 1,772.38 : x
  2. Step 2: Convert to fraction form
    2,670.24/3,680.04 = 1,772.38/x
  3. Step 3: Cross multiply
    2,670.24x = 3,680.04 × 1,772.38
  4. Step 4: Simplify right side
    2,670.24x = 6,522,410.90
  5. Step 5: Solve for x
    x = 6,522,410.90/2,670.24
  6. Step 6: Final answer
    x = 2,442.64

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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.