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Finding the Fourth Proportional to 2,362.82, 3,252.69 and 1,802.30

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Solution

The fourth proportional to 2,362.82, 3,252.69 and 1,802.30 is: 2,481.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.82 : 3,252.69 = 1,802.30 : x
  2. Step 2: Convert to fraction form
    2,362.82/3,252.69 = 1,802.30/x
  3. Step 3: Cross multiply
    2,362.82x = 3,252.69 × 1,802.30
  4. Step 4: Simplify right side
    2,362.82x = 5,862,323.19
  5. Step 5: Solve for x
    x = 5,862,323.19/2,362.82
  6. Step 6: Final answer
    x = 2,481.07

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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.