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Finding the Fourth Proportional to 2,749.91, 4,125.23 and 802.09

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Solution

The fourth proportional to 2,749.91, 4,125.23 and 802.09 is: 1,203.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.91 : 4,125.23 = 802.09 : x
  2. Step 2: Convert to fraction form
    2,749.91/4,125.23 = 802.09/x
  3. Step 3: Cross multiply
    2,749.91x = 4,125.23 × 802.09
  4. Step 4: Simplify right side
    2,749.91x = 3,308,805.73
  5. Step 5: Solve for x
    x = 3,308,805.73/2,749.91
  6. Step 6: Final answer
    x = 1,203.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.