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Finding the Fourth Proportional to 2,749.93, 4,125.02 and 802.14

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Solution

The fourth proportional to 2,749.93, 4,125.02 and 802.14 is: 1,203.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.93 : 4,125.02 = 802.14 : x
  2. Step 2: Convert to fraction form
    2,749.93/4,125.02 = 802.14/x
  3. Step 3: Cross multiply
    2,749.93x = 4,125.02 × 802.14
  4. Step 4: Simplify right side
    2,749.93x = 3,308,843.54
  5. Step 5: Solve for x
    x = 3,308,843.54/2,749.93
  6. Step 6: Final answer
    x = 1,203.25

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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.