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Finding the Fourth Proportional to 2,005.41, 3,008.60 and 618.69

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Solution

The fourth proportional to 2,005.41, 3,008.60 and 618.69 is: 928.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.41 : 3,008.60 = 618.69 : x
  2. Step 2: Convert to fraction form
    2,005.41/3,008.60 = 618.69/x
  3. Step 3: Cross multiply
    2,005.41x = 3,008.60 × 618.69
  4. Step 4: Simplify right side
    2,005.41x = 1,861,377.24
  5. Step 5: Solve for x
    x = 1,861,377.24/2,005.41
  6. Step 6: Final answer
    x = 928.18

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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.