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Finding the Fourth Proportional to 1,778.69, 2,666.51 and 682.29

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Solution

The fourth proportional to 1,778.69, 2,666.51 and 682.29 is: 1,022.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.69 : 2,666.51 = 682.29 : x
  2. Step 2: Convert to fraction form
    1,778.69/2,666.51 = 682.29/x
  3. Step 3: Cross multiply
    1,778.69x = 2,666.51 × 682.29
  4. Step 4: Simplify right side
    1,778.69x = 1,819,333.11
  5. Step 5: Solve for x
    x = 1,819,333.11/1,778.69
  6. Step 6: Final answer
    x = 1,022.85

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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.