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Finding the Fourth Proportional to 2,993.83, 4,490.78 and 1,305.05

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Solution

The fourth proportional to 2,993.83, 4,490.78 and 1,305.05 is: 1,957.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.83 : 4,490.78 = 1,305.05 : x
  2. Step 2: Convert to fraction form
    2,993.83/4,490.78 = 1,305.05/x
  3. Step 3: Cross multiply
    2,993.83x = 4,490.78 × 1,305.05
  4. Step 4: Simplify right side
    2,993.83x = 5,860,663.46
  5. Step 5: Solve for x
    x = 5,860,663.46/2,993.83
  6. Step 6: Final answer
    x = 1,957.58

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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.