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Finding the Fourth Proportional to 2,149.81, 3,223.77 and 1,110.40

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Solution

The fourth proportional to 2,149.81, 3,223.77 and 1,110.40 is: 1,665.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.81 : 3,223.77 = 1,110.40 : x
  2. Step 2: Convert to fraction form
    2,149.81/3,223.77 = 1,110.40/x
  3. Step 3: Cross multiply
    2,149.81x = 3,223.77 × 1,110.40
  4. Step 4: Simplify right side
    2,149.81x = 3,579,674.21
  5. Step 5: Solve for x
    x = 3,579,674.21/2,149.81
  6. Step 6: Final answer
    x = 1,665.11

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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.