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Finding the Fourth Proportional to 1,786.95, 2,678.98 and 747.75

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Solution

The fourth proportional to 1,786.95, 2,678.98 and 747.75 is: 1,121.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.95 : 2,678.98 = 747.75 : x
  2. Step 2: Convert to fraction form
    1,786.95/2,678.98 = 747.75/x
  3. Step 3: Cross multiply
    1,786.95x = 2,678.98 × 747.75
  4. Step 4: Simplify right side
    1,786.95x = 2,003,207.30
  5. Step 5: Solve for x
    x = 2,003,207.30/1,786.95
  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.