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Finding the Fourth Proportional to 1,932.39, 2,663.78 and 1,650.51

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Solution

The fourth proportional to 1,932.39, 2,663.78 and 1,650.51 is: 2,275.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.39 : 2,663.78 = 1,650.51 : x
  2. Step 2: Convert to fraction form
    1,932.39/2,663.78 = 1,650.51/x
  3. Step 3: Cross multiply
    1,932.39x = 2,663.78 × 1,650.51
  4. Step 4: Simplify right side
    1,932.39x = 4,396,587.28
  5. Step 5: Solve for x
    x = 4,396,587.28/1,932.39
  6. Step 6: Final answer
    x = 2,275.21

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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.