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Finding the Fourth Proportional to 2,174.28, 3,267.08 and 2,032.08

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Solution

The fourth proportional to 2,174.28, 3,267.08 and 2,032.08 is: 3,053.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.28 : 3,267.08 = 2,032.08 : x
  2. Step 2: Convert to fraction form
    2,174.28/3,267.08 = 2,032.08/x
  3. Step 3: Cross multiply
    2,174.28x = 3,267.08 × 2,032.08
  4. Step 4: Simplify right side
    2,174.28x = 6,638,967.93
  5. Step 5: Solve for x
    x = 6,638,967.93/2,174.28
  6. Step 6: Final answer
    x = 3,053.41

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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.