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Finding the Fourth Proportional to 2,679.10, 3,697.24 and 1,500.20

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Solution

The fourth proportional to 2,679.10, 3,697.24 and 1,500.20 is: 2,070.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.10 : 3,697.24 = 1,500.20 : x
  2. Step 2: Convert to fraction form
    2,679.10/3,697.24 = 1,500.20/x
  3. Step 3: Cross multiply
    2,679.10x = 3,697.24 × 1,500.20
  4. Step 4: Simplify right side
    2,679.10x = 5,546,599.45
  5. Step 5: Solve for x
    x = 5,546,599.45/2,679.10
  6. Step 6: Final answer
    x = 2,070.32

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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.