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Finding the Fourth Proportional to 1,579.82, 2,369.73 and 848.39

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Solution

The fourth proportional to 1,579.82, 2,369.73 and 848.39 is: 1,272.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.82 : 2,369.73 = 848.39 : x
  2. Step 2: Convert to fraction form
    1,579.82/2,369.73 = 848.39/x
  3. Step 3: Cross multiply
    1,579.82x = 2,369.73 × 848.39
  4. Step 4: Simplify right side
    1,579.82x = 2,010,443.39
  5. Step 5: Solve for x
    x = 2,010,443.39/1,579.82
  6. Step 6: Final answer
    x = 1,272.58

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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.