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Finding the Fourth Proportional to 2,209.93, 3,049.71 and 1,215.31

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Solution

The fourth proportional to 2,209.93, 3,049.71 and 1,215.31 is: 1,677.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.93 : 3,049.71 = 1,215.31 : x
  2. Step 2: Convert to fraction form
    2,209.93/3,049.71 = 1,215.31/x
  3. Step 3: Cross multiply
    2,209.93x = 3,049.71 × 1,215.31
  4. Step 4: Simplify right side
    2,209.93x = 3,706,343.06
  5. Step 5: Solve for x
    x = 3,706,343.06/2,209.93
  6. Step 6: Final answer
    x = 1,677.13

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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.