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Finding the Fourth Proportional to 2,209.68, 3,046.01 and 1,463.67

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Solution

The fourth proportional to 2,209.68, 3,046.01 and 1,463.67 is: 2,017.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.68 : 3,046.01 = 1,463.67 : x
  2. Step 2: Convert to fraction form
    2,209.68/3,046.01 = 1,463.67/x
  3. Step 3: Cross multiply
    2,209.68x = 3,046.01 × 1,463.67
  4. Step 4: Simplify right side
    2,209.68x = 4,458,346.14
  5. Step 5: Solve for x
    x = 4,458,346.14/2,209.68
  6. Step 6: Final answer
    x = 2,017.64

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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.