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Finding the Fourth Proportional to 2,005.06, 3,007.92 and 618.40

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Solution

The fourth proportional to 2,005.06, 3,007.92 and 618.40 is: 927.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.06 : 3,007.92 = 618.40 : x
  2. Step 2: Convert to fraction form
    2,005.06/3,007.92 = 618.40/x
  3. Step 3: Cross multiply
    2,005.06x = 3,007.92 × 618.40
  4. Step 4: Simplify right side
    2,005.06x = 1,860,079.60
  5. Step 5: Solve for x
    x = 1,860,079.60/2,005.06
  6. Step 6: Final answer
    x = 927.70

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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.