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Finding the Fourth Proportional to 2,207.81, 3,046.25 and 1,323.63

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Solution

The fourth proportional to 2,207.81, 3,046.25 and 1,323.63 is: 1,826.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.81 : 3,046.25 = 1,323.63 : x
  2. Step 2: Convert to fraction form
    2,207.81/3,046.25 = 1,323.63/x
  3. Step 3: Cross multiply
    2,207.81x = 3,046.25 × 1,323.63
  4. Step 4: Simplify right side
    2,207.81x = 4,032,101.27
  5. Step 5: Solve for x
    x = 4,032,101.27/2,207.81
  6. Step 6: Final answer
    x = 1,826.29

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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.