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Finding the Fourth Proportional to 1,780.65, 2,666.66 and 1,201.77

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Solution

The fourth proportional to 1,780.65, 2,666.66 and 1,201.77 is: 1,799.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.65 : 2,666.66 = 1,201.77 : x
  2. Step 2: Convert to fraction form
    1,780.65/2,666.66 = 1,201.77/x
  3. Step 3: Cross multiply
    1,780.65x = 2,666.66 × 1,201.77
  4. Step 4: Simplify right side
    1,780.65x = 3,204,705.98
  5. Step 5: Solve for x
    x = 3,204,705.98/1,780.65
  6. Step 6: Final answer
    x = 1,799.74

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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.