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Finding the Fourth Proportional to 2,207.70, 3,046.68 and 1,213.00

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Solution

The fourth proportional to 2,207.70, 3,046.68 and 1,213.00 is: 1,673.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.70 : 3,046.68 = 1,213.00 : x
  2. Step 2: Convert to fraction form
    2,207.70/3,046.68 = 1,213.00/x
  3. Step 3: Cross multiply
    2,207.70x = 3,046.68 × 1,213.00
  4. Step 4: Simplify right side
    2,207.70x = 3,695,615.22
  5. Step 5: Solve for x
    x = 3,695,615.22/2,207.70
  6. Step 6: Final answer
    x = 1,673.97

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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.