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Finding the Fourth Proportional to 2,159.14, 3,238.02 and 697.93

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Solution

The fourth proportional to 2,159.14, 3,238.02 and 697.93 is: 1,046.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.14 : 3,238.02 = 697.93 : x
  2. Step 2: Convert to fraction form
    2,159.14/3,238.02 = 697.93/x
  3. Step 3: Cross multiply
    2,159.14x = 3,238.02 × 697.93
  4. Step 4: Simplify right side
    2,159.14x = 2,259,911.30
  5. Step 5: Solve for x
    x = 2,259,911.30/2,159.14
  6. Step 6: Final answer
    x = 1,046.67

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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.