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Finding the Fourth Proportional to 2,209.84, 3,046.39 and 1,462.55

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Solution

The fourth proportional to 2,209.84, 3,046.39 and 1,462.55 is: 2,016.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.84 : 3,046.39 = 1,462.55 : x
  2. Step 2: Convert to fraction form
    2,209.84/3,046.39 = 1,462.55/x
  3. Step 3: Cross multiply
    2,209.84x = 3,046.39 × 1,462.55
  4. Step 4: Simplify right side
    2,209.84x = 4,455,497.69
  5. Step 5: Solve for x
    x = 4,455,497.69/2,209.84
  6. Step 6: Final answer
    x = 2,016.21

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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.