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Finding the Fourth Proportional to 2,188.14, 3,282.27 and 954.91

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Solution

The fourth proportional to 2,188.14, 3,282.27 and 954.91 is: 1,432.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.14 : 3,282.27 = 954.91 : x
  2. Step 2: Convert to fraction form
    2,188.14/3,282.27 = 954.91/x
  3. Step 3: Cross multiply
    2,188.14x = 3,282.27 × 954.91
  4. Step 4: Simplify right side
    2,188.14x = 3,134,272.45
  5. Step 5: Solve for x
    x = 3,134,272.45/2,188.14
  6. Step 6: Final answer
    x = 1,432.39

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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.