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Finding the Fourth Proportional to 2,990.04, 4,485.16 and 798.78

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Solution

The fourth proportional to 2,990.04, 4,485.16 and 798.78 is: 1,198.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.04 : 4,485.16 = 798.78 : x
  2. Step 2: Convert to fraction form
    2,990.04/4,485.16 = 798.78/x
  3. Step 3: Cross multiply
    2,990.04x = 4,485.16 × 798.78
  4. Step 4: Simplify right side
    2,990.04x = 3,582,656.10
  5. Step 5: Solve for x
    x = 3,582,656.10/2,990.04
  6. Step 6: Final answer
    x = 1,198.20

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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.