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Finding the Fourth Proportional to 2,582.92, 3,562.82 and 1,993.32

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Solution

The fourth proportional to 2,582.92, 3,562.82 and 1,993.32 is: 2,749.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.92 : 3,562.82 = 1,993.32 : x
  2. Step 2: Convert to fraction form
    2,582.92/3,562.82 = 1,993.32/x
  3. Step 3: Cross multiply
    2,582.92x = 3,562.82 × 1,993.32
  4. Step 4: Simplify right side
    2,582.92x = 7,101,840.36
  5. Step 5: Solve for x
    x = 7,101,840.36/2,582.92
  6. Step 6: Final answer
    x = 2,749.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.