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Finding the Fourth Proportional to 2,363.65, 3,266.34 and 1,773.16

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Solution

The fourth proportional to 2,363.65, 3,266.34 and 1,773.16 is: 2,450.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.65 : 3,266.34 = 1,773.16 : x
  2. Step 2: Convert to fraction form
    2,363.65/3,266.34 = 1,773.16/x
  3. Step 3: Cross multiply
    2,363.65x = 3,266.34 × 1,773.16
  4. Step 4: Simplify right side
    2,363.65x = 5,791,743.43
  5. Step 5: Solve for x
    x = 5,791,743.43/2,363.65
  6. Step 6: Final answer
    x = 2,450.34

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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.