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Finding the Fourth Proportional to 2,159.81, 3,239.04 and 698.63

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Solution

The fourth proportional to 2,159.81, 3,239.04 and 698.63 is: 1,047.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.81 : 3,239.04 = 698.63 : x
  2. Step 2: Convert to fraction form
    2,159.81/3,239.04 = 698.63/x
  3. Step 3: Cross multiply
    2,159.81x = 3,239.04 × 698.63
  4. Step 4: Simplify right side
    2,159.81x = 2,262,873.01
  5. Step 5: Solve for x
    x = 2,262,873.01/2,159.81
  6. Step 6: Final answer
    x = 1,047.72

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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.