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Finding the Fourth Proportional to 2,790.73, 4,185.64 and 815.89

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Solution

The fourth proportional to 2,790.73, 4,185.64 and 815.89 is: 1,223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790.73 : 4,185.64 = 815.89 : x
  2. Step 2: Convert to fraction form
    2,790.73/4,185.64 = 815.89/x
  3. Step 3: Cross multiply
    2,790.73x = 4,185.64 × 815.89
  4. Step 4: Simplify right side
    2,790.73x = 3,415,017.93
  5. Step 5: Solve for x
    x = 3,415,017.93/2,790.73
  6. Step 6: Final answer
    x = 1,223.70

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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.