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Finding the Fourth Proportional to 2,158.86, 3,238.58 and 697.66

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Solution

The fourth proportional to 2,158.86, 3,238.58 and 697.66 is: 1,046.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.86 : 3,238.58 = 697.66 : x
  2. Step 2: Convert to fraction form
    2,158.86/3,238.58 = 697.66/x
  3. Step 3: Cross multiply
    2,158.86x = 3,238.58 × 697.66
  4. Step 4: Simplify right side
    2,158.86x = 2,259,427.72
  5. Step 5: Solve for x
    x = 2,259,427.72/2,158.86
  6. Step 6: Final answer
    x = 1,046.58

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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.