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Finding the Fourth Proportional to 1,780.93, 2,671.70 and 794.09

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Solution

The fourth proportional to 1,780.93, 2,671.70 and 794.09 is: 1,191.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.93 : 2,671.70 = 794.09 : x
  2. Step 2: Convert to fraction form
    1,780.93/2,671.70 = 794.09/x
  3. Step 3: Cross multiply
    1,780.93x = 2,671.70 × 794.09
  4. Step 4: Simplify right side
    1,780.93x = 2,121,572.96
  5. Step 5: Solve for x
    x = 2,121,572.96/1,780.93
  6. Step 6: Final answer
    x = 1,191.27

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