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Finding the Fourth Proportional to 2,184.30, 3,275.94 and 797.79

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Solution

The fourth proportional to 2,184.30, 3,275.94 and 797.79 is: 1,196.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.30 : 3,275.94 = 797.79 : x
  2. Step 2: Convert to fraction form
    2,184.30/3,275.94 = 797.79/x
  3. Step 3: Cross multiply
    2,184.30x = 3,275.94 × 797.79
  4. Step 4: Simplify right side
    2,184.30x = 2,613,512.17
  5. Step 5: Solve for x
    x = 2,613,512.17/2,184.30
  6. Step 6: Final answer
    x = 1,196.50

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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.