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Finding the Fourth Proportional to 2,620.96, 3,616.92 and 1,442.01

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Solution

The fourth proportional to 2,620.96, 3,616.92 and 1,442.01 is: 1,989.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620.96 : 3,616.92 = 1,442.01 : x
  2. Step 2: Convert to fraction form
    2,620.96/3,616.92 = 1,442.01/x
  3. Step 3: Cross multiply
    2,620.96x = 3,616.92 × 1,442.01
  4. Step 4: Simplify right side
    2,620.96x = 5,215,634.81
  5. Step 5: Solve for x
    x = 5,215,634.81/2,620.96
  6. Step 6: Final answer
    x = 1,989.97

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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.