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Finding the Fourth Proportional to 3,362.09, 5,032.34 and 1,798.18

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Solution

The fourth proportional to 3,362.09, 5,032.34 and 1,798.18 is: 2,691.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.09 : 5,032.34 = 1,798.18 : x
  2. Step 2: Convert to fraction form
    3,362.09/5,032.34 = 1,798.18/x
  3. Step 3: Cross multiply
    3,362.09x = 5,032.34 × 1,798.18
  4. Step 4: Simplify right side
    3,362.09x = 9,049,053.14
  5. Step 5: Solve for x
    x = 9,049,053.14/3,362.09
  6. Step 6: Final answer
    x = 2,691.50

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Why These Related Problems?

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