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Finding the Fourth Proportional to 2,182.64, 3,274.14 and 884.12

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Solution

The fourth proportional to 2,182.64, 3,274.14 and 884.12 is: 1,326.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.64 : 3,274.14 = 884.12 : x
  2. Step 2: Convert to fraction form
    2,182.64/3,274.14 = 884.12/x
  3. Step 3: Cross multiply
    2,182.64x = 3,274.14 × 884.12
  4. Step 4: Simplify right side
    2,182.64x = 2,894,732.66
  5. Step 5: Solve for x
    x = 2,894,732.66/2,182.64
  6. Step 6: Final answer
    x = 1,326.25

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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.