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Finding the Fourth Proportional to 2,158.60, 3,238.80 and 698.20

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Solution

The fourth proportional to 2,158.60, 3,238.80 and 698.20 is: 1,047.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.60 : 3,238.80 = 698.20 : x
  2. Step 2: Convert to fraction form
    2,158.60/3,238.80 = 698.20/x
  3. Step 3: Cross multiply
    2,158.60x = 3,238.80 × 698.20
  4. Step 4: Simplify right side
    2,158.60x = 2,261,330.16
  5. Step 5: Solve for x
    x = 2,261,330.16/2,158.60
  6. Step 6: Final answer
    x = 1,047.59

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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.