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Finding the Fourth Proportional to 2,184.12, 3,277.57 and 797.32

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Solution

The fourth proportional to 2,184.12, 3,277.57 and 797.32 is: 1,196.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.12 : 3,277.57 = 797.32 : x
  2. Step 2: Convert to fraction form
    2,184.12/3,277.57 = 797.32/x
  3. Step 3: Cross multiply
    2,184.12x = 3,277.57 × 797.32
  4. Step 4: Simplify right side
    2,184.12x = 2,613,272.11
  5. Step 5: Solve for x
    x = 2,613,272.11/2,184.12
  6. Step 6: Final answer
    x = 1,196.49

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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.