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Finding the Fourth Proportional to 3,061.82, 4,224.87 and 1,802.14

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Solution

The fourth proportional to 3,061.82, 4,224.87 and 1,802.14 is: 2,486.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.82 : 4,224.87 = 1,802.14 : x
  2. Step 2: Convert to fraction form
    3,061.82/4,224.87 = 1,802.14/x
  3. Step 3: Cross multiply
    3,061.82x = 4,224.87 × 1,802.14
  4. Step 4: Simplify right side
    3,061.82x = 7,613,796.66
  5. Step 5: Solve for x
    x = 7,613,796.66/3,061.82
  6. Step 6: Final answer
    x = 2,486.69

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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.