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Finding the Fourth Proportional to 2,006.72, 3,010.64 and 837.27

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Solution

The fourth proportional to 2,006.72, 3,010.64 and 837.27 is: 1,256.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.72 : 3,010.64 = 837.27 : x
  2. Step 2: Convert to fraction form
    2,006.72/3,010.64 = 837.27/x
  3. Step 3: Cross multiply
    2,006.72x = 3,010.64 × 837.27
  4. Step 4: Simplify right side
    2,006.72x = 2,520,728.83
  5. Step 5: Solve for x
    x = 2,520,728.83/2,006.72
  6. Step 6: Final answer
    x = 1,256.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.