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Finding the Fourth Proportional to 2,006.65, 2,769.38 and 1,261.18

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Solution

The fourth proportional to 2,006.65, 2,769.38 and 1,261.18 is: 1,740.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.65 : 2,769.38 = 1,261.18 : x
  2. Step 2: Convert to fraction form
    2,006.65/2,769.38 = 1,261.18/x
  3. Step 3: Cross multiply
    2,006.65x = 2,769.38 × 1,261.18
  4. Step 4: Simplify right side
    2,006.65x = 3,492,682.90
  5. Step 5: Solve for x
    x = 3,492,682.90/2,006.65
  6. Step 6: Final answer
    x = 1,740.56

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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.