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Finding the Fourth Proportional to 2,193.70, 3,290.55 and 2,157.70

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Solution

The fourth proportional to 2,193.70, 3,290.55 and 2,157.70 is: 3,236.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.70 : 3,290.55 = 2,157.70 : x
  2. Step 2: Convert to fraction form
    2,193.70/3,290.55 = 2,157.70/x
  3. Step 3: Cross multiply
    2,193.70x = 3,290.55 × 2,157.70
  4. Step 4: Simplify right side
    2,193.70x = 7,100,019.74
  5. Step 5: Solve for x
    x = 7,100,019.74/2,193.70
  6. Step 6: Final answer
    x = 3,236.55

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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.