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Finding the Fourth Proportional to 2,141.56, 3,212.34 and 987.04

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Solution

The fourth proportional to 2,141.56, 3,212.34 and 987.04 is: 1,480.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.56 : 3,212.34 = 987.04 : x
  2. Step 2: Convert to fraction form
    2,141.56/3,212.34 = 987.04/x
  3. Step 3: Cross multiply
    2,141.56x = 3,212.34 × 987.04
  4. Step 4: Simplify right side
    2,141.56x = 3,170,708.07
  5. Step 5: Solve for x
    x = 3,170,708.07/2,141.56
  6. Step 6: Final answer
    x = 1,480.56

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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.