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Finding the Fourth Proportional to 1,993.92, 2,987.64 and 1,580.82

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Solution

The fourth proportional to 1,993.92, 2,987.64 and 1,580.82 is: 2,368.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.92 : 2,987.64 = 1,580.82 : x
  2. Step 2: Convert to fraction form
    1,993.92/2,987.64 = 1,580.82/x
  3. Step 3: Cross multiply
    1,993.92x = 2,987.64 × 1,580.82
  4. Step 4: Simplify right side
    1,993.92x = 4,722,921.06
  5. Step 5: Solve for x
    x = 4,722,921.06/1,993.92
  6. Step 6: Final answer
    x = 2,368.66

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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.