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Finding the Fourth Proportional to 2,177.82, 3,266.19 and 1,355.67

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Solution

The fourth proportional to 2,177.82, 3,266.19 and 1,355.67 is: 2,033.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.82 : 3,266.19 = 1,355.67 : x
  2. Step 2: Convert to fraction form
    2,177.82/3,266.19 = 1,355.67/x
  3. Step 3: Cross multiply
    2,177.82x = 3,266.19 × 1,355.67
  4. Step 4: Simplify right side
    2,177.82x = 4,427,875.80
  5. Step 5: Solve for x
    x = 4,427,875.80/2,177.82
  6. Step 6: Final answer
    x = 2,033.17

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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.