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Finding the Fourth Proportional to 2,207.81, 3,046.82 and 1,213.13

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Solution

The fourth proportional to 2,207.81, 3,046.82 and 1,213.13 is: 1,674.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.81 : 3,046.82 = 1,213.13 : x
  2. Step 2: Convert to fraction form
    2,207.81/3,046.82 = 1,213.13/x
  3. Step 3: Cross multiply
    2,207.81x = 3,046.82 × 1,213.13
  4. Step 4: Simplify right side
    2,207.81x = 3,696,167.45
  5. Step 5: Solve for x
    x = 3,696,167.45/2,207.81
  6. Step 6: Final answer
    x = 1,674.14

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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.