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Finding the Fourth Proportional to 2,166.14, 3,248.87 and 605.98

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Solution

The fourth proportional to 2,166.14, 3,248.87 and 605.98 is: 908.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.14 : 3,248.87 = 605.98 : x
  2. Step 2: Convert to fraction form
    2,166.14/3,248.87 = 605.98/x
  3. Step 3: Cross multiply
    2,166.14x = 3,248.87 × 605.98
  4. Step 4: Simplify right side
    2,166.14x = 1,968,750.24
  5. Step 5: Solve for x
    x = 1,968,750.24/2,166.14
  6. Step 6: Final answer
    x = 908.87

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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.