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Finding the Fourth Proportional to 2,138.77, 3,210.41 and 1,216.14

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Solution

The fourth proportional to 2,138.77, 3,210.41 and 1,216.14 is: 1,825.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.77 : 3,210.41 = 1,216.14 : x
  2. Step 2: Convert to fraction form
    2,138.77/3,210.41 = 1,216.14/x
  3. Step 3: Cross multiply
    2,138.77x = 3,210.41 × 1,216.14
  4. Step 4: Simplify right side
    2,138.77x = 3,904,308.02
  5. Step 5: Solve for x
    x = 3,904,308.02/2,138.77
  6. Step 6: Final answer
    x = 1,825.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.