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Finding the Fourth Proportional to 2,182.98, 3,274.46 and 884.43

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Solution

The fourth proportional to 2,182.98, 3,274.46 and 884.43 is: 1,326.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.98 : 3,274.46 = 884.43 : x
  2. Step 2: Convert to fraction form
    2,182.98/3,274.46 = 884.43/x
  3. Step 3: Cross multiply
    2,182.98x = 3,274.46 × 884.43
  4. Step 4: Simplify right side
    2,182.98x = 2,896,026.24
  5. Step 5: Solve for x
    x = 2,896,026.24/2,182.98
  6. Step 6: Final answer
    x = 1,326.64

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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.