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Finding the Fourth Proportional to 2,159.82, 3,238.86 and 926.58

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Solution

The fourth proportional to 2,159.82, 3,238.86 and 926.58 is: 1,389.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.82 : 3,238.86 = 926.58 : x
  2. Step 2: Convert to fraction form
    2,159.82/3,238.86 = 926.58/x
  3. Step 3: Cross multiply
    2,159.82x = 3,238.86 × 926.58
  4. Step 4: Simplify right side
    2,159.82x = 3,001,062.90
  5. Step 5: Solve for x
    x = 3,001,062.90/2,159.82
  6. Step 6: Final answer
    x = 1,389.50

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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.