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Finding the Fourth Proportional to 1,775.12, 2,665.26 and 996.66

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Solution

The fourth proportional to 1,775.12, 2,665.26 and 996.66 is: 1,496.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.12 : 2,665.26 = 996.66 : x
  2. Step 2: Convert to fraction form
    1,775.12/2,665.26 = 996.66/x
  3. Step 3: Cross multiply
    1,775.12x = 2,665.26 × 996.66
  4. Step 4: Simplify right side
    1,775.12x = 2,656,358.03
  5. Step 5: Solve for x
    x = 2,656,358.03/1,775.12
  6. Step 6: Final answer
    x = 1,496.44

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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.