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Finding the Fourth Proportional to 1,928.91, 2,663.04 and 1,266.92

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Solution

The fourth proportional to 1,928.91, 2,663.04 and 1,266.92 is: 1,749.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.91 : 2,663.04 = 1,266.92 : x
  2. Step 2: Convert to fraction form
    1,928.91/2,663.04 = 1,266.92/x
  3. Step 3: Cross multiply
    1,928.91x = 2,663.04 × 1,266.92
  4. Step 4: Simplify right side
    1,928.91x = 3,373,858.64
  5. Step 5: Solve for x
    x = 3,373,858.64/1,928.91
  6. Step 6: Final answer
    x = 1,749.10

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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.