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Finding the Fourth Proportional to 2,141.63, 3,213.98 and 909.38

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Solution

The fourth proportional to 2,141.63, 3,213.98 and 909.38 is: 1,364.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.63 : 3,213.98 = 909.38 : x
  2. Step 2: Convert to fraction form
    2,141.63/3,213.98 = 909.38/x
  3. Step 3: Cross multiply
    2,141.63x = 3,213.98 × 909.38
  4. Step 4: Simplify right side
    2,141.63x = 2,922,729.13
  5. Step 5: Solve for x
    x = 2,922,729.13/2,141.63
  6. Step 6: Final answer
    x = 1,364.72

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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.