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Finding the Fourth Proportional to 2,184.70, 3,275.61 and 884.86

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Solution

The fourth proportional to 2,184.70, 3,275.61 and 884.86 is: 1,326.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.70 : 3,275.61 = 884.86 : x
  2. Step 2: Convert to fraction form
    2,184.70/3,275.61 = 884.86/x
  3. Step 3: Cross multiply
    2,184.70x = 3,275.61 × 884.86
  4. Step 4: Simplify right side
    2,184.70x = 2,898,456.26
  5. Step 5: Solve for x
    x = 2,898,456.26/2,184.70
  6. Step 6: Final answer
    x = 1,326.71

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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.