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Finding the Fourth Proportional to 2,005.42, 3,008.41 and 618.87

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Solution

The fourth proportional to 2,005.42, 3,008.41 and 618.87 is: 928.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.42 : 3,008.41 = 618.87 : x
  2. Step 2: Convert to fraction form
    2,005.42/3,008.41 = 618.87/x
  3. Step 3: Cross multiply
    2,005.42x = 3,008.41 × 618.87
  4. Step 4: Simplify right side
    2,005.42x = 1,861,814.70
  5. Step 5: Solve for x
    x = 1,861,814.70/2,005.42
  6. Step 6: Final answer
    x = 928.39

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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.