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Finding the Fourth Proportional to 2,378.80, 3,586.03 and 2,220.22

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Solution

The fourth proportional to 2,378.80, 3,586.03 and 2,220.22 is: 3,346.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.80 : 3,586.03 = 2,220.22 : x
  2. Step 2: Convert to fraction form
    2,378.80/3,586.03 = 2,220.22/x
  3. Step 3: Cross multiply
    2,378.80x = 3,586.03 × 2,220.22
  4. Step 4: Simplify right side
    2,378.80x = 7,961,775.53
  5. Step 5: Solve for x
    x = 7,961,775.53/2,378.80
  6. Step 6: Final answer
    x = 3,346.97

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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.