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Finding the Fourth Proportional to 2,005.57, 3,008.16 and 618.53

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Solution

The fourth proportional to 2,005.57, 3,008.16 and 618.53 is: 927.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.57 : 3,008.16 = 618.53 : x
  2. Step 2: Convert to fraction form
    2,005.57/3,008.16 = 618.53/x
  3. Step 3: Cross multiply
    2,005.57x = 3,008.16 × 618.53
  4. Step 4: Simplify right side
    2,005.57x = 1,860,644.73
  5. Step 5: Solve for x
    x = 1,860,644.73/2,005.57
  6. Step 6: Final answer
    x = 927.74

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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.