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Finding the Fourth Proportional to 2,005.70, 2,764.92 and 1,508.36

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Solution

The fourth proportional to 2,005.70, 2,764.92 and 1,508.36 is: 2,079.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.70 : 2,764.92 = 1,508.36 : x
  2. Step 2: Convert to fraction form
    2,005.70/2,764.92 = 1,508.36/x
  3. Step 3: Cross multiply
    2,005.70x = 2,764.92 × 1,508.36
  4. Step 4: Simplify right side
    2,005.70x = 4,170,494.73
  5. Step 5: Solve for x
    x = 4,170,494.73/2,005.70
  6. Step 6: Final answer
    x = 2,079.32

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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.