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Finding the Fourth Proportional to 1,780.68, 2,666.70 and 1,231.32

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Solution

The fourth proportional to 1,780.68, 2,666.70 and 1,231.32 is: 1,843.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.68 : 2,666.70 = 1,231.32 : x
  2. Step 2: Convert to fraction form
    1,780.68/2,666.70 = 1,231.32/x
  3. Step 3: Cross multiply
    1,780.68x = 2,666.70 × 1,231.32
  4. Step 4: Simplify right side
    1,780.68x = 3,283,561.04
  5. Step 5: Solve for x
    x = 3,283,561.04/1,780.68
  6. Step 6: Final answer
    x = 1,843.99

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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.