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Finding the Fourth Proportional to 1,917.83, 2,646.72 and 1,067.13

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Solution

The fourth proportional to 1,917.83, 2,646.72 and 1,067.13 is: 1,472.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.83 : 2,646.72 = 1,067.13 : x
  2. Step 2: Convert to fraction form
    1,917.83/2,646.72 = 1,067.13/x
  3. Step 3: Cross multiply
    1,917.83x = 2,646.72 × 1,067.13
  4. Step 4: Simplify right side
    1,917.83x = 2,824,394.31
  5. Step 5: Solve for x
    x = 2,824,394.31/1,917.83
  6. Step 6: Final answer
    x = 1,472.71

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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.