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Finding the Fourth Proportional to 2,110.11, 3,165.34 and 649.27

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Solution

The fourth proportional to 2,110.11, 3,165.34 and 649.27 is: 973.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.11 : 3,165.34 = 649.27 : x
  2. Step 2: Convert to fraction form
    2,110.11/3,165.34 = 649.27/x
  3. Step 3: Cross multiply
    2,110.11x = 3,165.34 × 649.27
  4. Step 4: Simplify right side
    2,110.11x = 2,055,146.96
  5. Step 5: Solve for x
    x = 2,055,146.96/2,110.11
  6. Step 6: Final answer
    x = 973.95

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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.