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Finding the Fourth Proportional to 2,536.92, 3,798.09 and 2,216.16

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Solution

The fourth proportional to 2,536.92, 3,798.09 and 2,216.16 is: 3,317.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.92 : 3,798.09 = 2,216.16 : x
  2. Step 2: Convert to fraction form
    2,536.92/3,798.09 = 2,216.16/x
  3. Step 3: Cross multiply
    2,536.92x = 3,798.09 × 2,216.16
  4. Step 4: Simplify right side
    2,536.92x = 8,417,175.13
  5. Step 5: Solve for x
    x = 8,417,175.13/2,536.92
  6. Step 6: Final answer
    x = 3,317.87

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1.5x scale

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.