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Finding the Fourth Proportional to 2,159.83, 3,240.27 and 698.98

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Solution

The fourth proportional to 2,159.83, 3,240.27 and 698.98 is: 1,048.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.83 : 3,240.27 = 698.98 : x
  2. Step 2: Convert to fraction form
    2,159.83/3,240.27 = 698.98/x
  3. Step 3: Cross multiply
    2,159.83x = 3,240.27 × 698.98
  4. Step 4: Simplify right side
    2,159.83x = 2,264,883.92
  5. Step 5: Solve for x
    x = 2,264,883.92/2,159.83
  6. Step 6: Final answer
    x = 1,048.64

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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.