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Finding the Fourth Proportional to 2,221.34, 3,069.50 and 1,902.25

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Solution

The fourth proportional to 2,221.34, 3,069.50 and 1,902.25 is: 2,628.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.34 : 3,069.50 = 1,902.25 : x
  2. Step 2: Convert to fraction form
    2,221.34/3,069.50 = 1,902.25/x
  3. Step 3: Cross multiply
    2,221.34x = 3,069.50 × 1,902.25
  4. Step 4: Simplify right side
    2,221.34x = 5,838,946.32
  5. Step 5: Solve for x
    x = 5,838,946.32/2,221.34
  6. Step 6: Final answer
    x = 2,628.58

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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.