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Finding the Fourth Proportional to 2,277.73, 3,415.31 and 1,044.46

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Solution

The fourth proportional to 2,277.73, 3,415.31 and 1,044.46 is: 1,566.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.73 : 3,415.31 = 1,044.46 : x
  2. Step 2: Convert to fraction form
    2,277.73/3,415.31 = 1,044.46/x
  3. Step 3: Cross multiply
    2,277.73x = 3,415.31 × 1,044.46
  4. Step 4: Simplify right side
    2,277.73x = 3,567,164.12
  5. Step 5: Solve for x
    x = 3,567,164.12/2,277.73
  6. Step 6: Final answer
    x = 1,566.11

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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.