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Finding the Fourth Proportional to 2,240.82, 3,362.34 and 1,009.14

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Solution

The fourth proportional to 2,240.82, 3,362.34 and 1,009.14 is: 1,514.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240.82 : 3,362.34 = 1,009.14 : x
  2. Step 2: Convert to fraction form
    2,240.82/3,362.34 = 1,009.14/x
  3. Step 3: Cross multiply
    2,240.82x = 3,362.34 × 1,009.14
  4. Step 4: Simplify right side
    2,240.82x = 3,393,071.79
  5. Step 5: Solve for x
    x = 3,393,071.79/2,240.82
  6. Step 6: Final answer
    x = 1,514.21

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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.