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Finding the Fourth Proportional to 1,786.89, 2,681.10 and 747.14

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Solution

The fourth proportional to 1,786.89, 2,681.10 and 747.14 is: 1,121.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.89 : 2,681.10 = 747.14 : x
  2. Step 2: Convert to fraction form
    1,786.89/2,681.10 = 747.14/x
  3. Step 3: Cross multiply
    1,786.89x = 2,681.10 × 747.14
  4. Step 4: Simplify right side
    1,786.89x = 2,003,143.65
  5. Step 5: Solve for x
    x = 2,003,143.65/1,786.89
  6. Step 6: Final answer
    x = 1,121.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.