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Finding the Fourth Proportional to 2,190.59, 3,281.95 and 1,202.34

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Solution

The fourth proportional to 2,190.59, 3,281.95 and 1,202.34 is: 1,801.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.59 : 3,281.95 = 1,202.34 : x
  2. Step 2: Convert to fraction form
    2,190.59/3,281.95 = 1,202.34/x
  3. Step 3: Cross multiply
    2,190.59x = 3,281.95 × 1,202.34
  4. Step 4: Simplify right side
    2,190.59x = 3,946,019.76
  5. Step 5: Solve for x
    x = 3,946,019.76/2,190.59
  6. Step 6: Final answer
    x = 1,801.35

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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.