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Finding the Fourth Proportional to 2,165.57, 3,226.20 and 2,061.08

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Solution

The fourth proportional to 2,165.57, 3,226.20 and 2,061.08 is: 3,070.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.57 : 3,226.20 = 2,061.08 : x
  2. Step 2: Convert to fraction form
    2,165.57/3,226.20 = 2,061.08/x
  3. Step 3: Cross multiply
    2,165.57x = 3,226.20 × 2,061.08
  4. Step 4: Simplify right side
    2,165.57x = 6,649,456.30
  5. Step 5: Solve for x
    x = 6,649,456.30/2,165.57
  6. Step 6: Final answer
    x = 3,070.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.