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Finding the Fourth Proportional to 2,602.26, 3,920.94 and 2,150.17

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Solution

The fourth proportional to 2,602.26, 3,920.94 and 2,150.17 is: 3,239.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.26 : 3,920.94 = 2,150.17 : x
  2. Step 2: Convert to fraction form
    2,602.26/3,920.94 = 2,150.17/x
  3. Step 3: Cross multiply
    2,602.26x = 3,920.94 × 2,150.17
  4. Step 4: Simplify right side
    2,602.26x = 8,430,677.76
  5. Step 5: Solve for x
    x = 8,430,677.76/2,602.26
  6. Step 6: Final answer
    x = 3,239.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.