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Finding the Fourth Proportional to 2,159.27, 3,239.37 and 698.57

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Solution

The fourth proportional to 2,159.27, 3,239.37 and 698.57 is: 1,048.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.27 : 3,239.37 = 698.57 : x
  2. Step 2: Convert to fraction form
    2,159.27/3,239.37 = 698.57/x
  3. Step 3: Cross multiply
    2,159.27x = 3,239.37 × 698.57
  4. Step 4: Simplify right side
    2,159.27x = 2,262,910.50
  5. Step 5: Solve for x
    x = 2,262,910.50/2,159.27
  6. Step 6: Final answer
    x = 1,048.00

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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.