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Finding the Fourth Proportional to 2,009.18, 3,012.89 and 621.77

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Solution

The fourth proportional to 2,009.18, 3,012.89 and 621.77 is: 932.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.18 : 3,012.89 = 621.77 : x
  2. Step 2: Convert to fraction form
    2,009.18/3,012.89 = 621.77/x
  3. Step 3: Cross multiply
    2,009.18x = 3,012.89 × 621.77
  4. Step 4: Simplify right side
    2,009.18x = 1,873,306.44
  5. Step 5: Solve for x
    x = 1,873,306.44/2,009.18
  6. Step 6: Final answer
    x = 932.38

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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.