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Finding the Fourth Proportional to 2,158.95, 3,239.09 and 698.22

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Solution

The fourth proportional to 2,158.95, 3,239.09 and 698.22 is: 1,047.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.95 : 3,239.09 = 698.22 : x
  2. Step 2: Convert to fraction form
    2,158.95/3,239.09 = 698.22/x
  3. Step 3: Cross multiply
    2,158.95x = 3,239.09 × 698.22
  4. Step 4: Simplify right side
    2,158.95x = 2,261,596.55
  5. Step 5: Solve for x
    x = 2,261,596.55/2,158.95
  6. Step 6: Final answer
    x = 1,047.54

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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.