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Finding the Fourth Proportional to 2,166.26, 3,249.72 and 934.01

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Solution

The fourth proportional to 2,166.26, 3,249.72 and 934.01 is: 1,401.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.26 : 3,249.72 = 934.01 : x
  2. Step 2: Convert to fraction form
    2,166.26/3,249.72 = 934.01/x
  3. Step 3: Cross multiply
    2,166.26x = 3,249.72 × 934.01
  4. Step 4: Simplify right side
    2,166.26x = 3,035,282.60
  5. Step 5: Solve for x
    x = 3,035,282.60/2,166.26
  6. Step 6: Final answer
    x = 1,401.17

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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.