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Finding the Fourth Proportional to 1,928.09, 2,662.10 and 1,265.87

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Solution

The fourth proportional to 1,928.09, 2,662.10 and 1,265.87 is: 1,747.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.09 : 2,662.10 = 1,265.87 : x
  2. Step 2: Convert to fraction form
    1,928.09/2,662.10 = 1,265.87/x
  3. Step 3: Cross multiply
    1,928.09x = 2,662.10 × 1,265.87
  4. Step 4: Simplify right side
    1,928.09x = 3,369,852.89
  5. Step 5: Solve for x
    x = 3,369,852.89/1,928.09
  6. Step 6: Final answer
    x = 1,747.77

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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.