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Finding the Fourth Proportional to 2,141.59, 3,212.40 and 842.14

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Solution

The fourth proportional to 2,141.59, 3,212.40 and 842.14 is: 1,263.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.59 : 3,212.40 = 842.14 : x
  2. Step 2: Convert to fraction form
    2,141.59/3,212.40 = 842.14/x
  3. Step 3: Cross multiply
    2,141.59x = 3,212.40 × 842.14
  4. Step 4: Simplify right side
    2,141.59x = 2,705,290.54
  5. Step 5: Solve for x
    x = 2,705,290.54/2,141.59
  6. Step 6: Final answer
    x = 1,263.22

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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.