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Finding the Fourth Proportional to 2,990.50, 4,127.02 and 1,664.18

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Solution

The fourth proportional to 2,990.50, 4,127.02 and 1,664.18 is: 2,296.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.50 : 4,127.02 = 1,664.18 : x
  2. Step 2: Convert to fraction form
    2,990.50/4,127.02 = 1,664.18/x
  3. Step 3: Cross multiply
    2,990.50x = 4,127.02 × 1,664.18
  4. Step 4: Simplify right side
    2,990.50x = 6,868,104.14
  5. Step 5: Solve for x
    x = 6,868,104.14/2,990.50
  6. Step 6: Final answer
    x = 2,296.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.