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Finding the Fourth Proportional to 1,928.80, 2,663.20 and 1,265.42

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Solution

The fourth proportional to 1,928.80, 2,663.20 and 1,265.42 is: 1,747.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.80 : 2,663.20 = 1,265.42 : x
  2. Step 2: Convert to fraction form
    1,928.80/2,663.20 = 1,265.42/x
  3. Step 3: Cross multiply
    1,928.80x = 2,663.20 × 1,265.42
  4. Step 4: Simplify right side
    1,928.80x = 3,370,066.54
  5. Step 5: Solve for x
    x = 3,370,066.54/1,928.80
  6. Step 6: Final answer
    x = 1,747.23

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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.