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Finding the Fourth Proportional to 2,218.93, 3,061.15 and 1,461.73

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Solution

The fourth proportional to 2,218.93, 3,061.15 and 1,461.73 is: 2,016.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.93 : 3,061.15 = 1,461.73 : x
  2. Step 2: Convert to fraction form
    2,218.93/3,061.15 = 1,461.73/x
  3. Step 3: Cross multiply
    2,218.93x = 3,061.15 × 1,461.73
  4. Step 4: Simplify right side
    2,218.93x = 4,474,583.18
  5. Step 5: Solve for x
    x = 4,474,583.18/2,218.93
  6. Step 6: Final answer
    x = 2,016.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.