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Finding the Fourth Proportional to 2,990.89, 4,127.25 and 1,664.32

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Solution

The fourth proportional to 2,990.89, 4,127.25 and 1,664.32 is: 2,296.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.89 : 4,127.25 = 1,664.32 : x
  2. Step 2: Convert to fraction form
    2,990.89/4,127.25 = 1,664.32/x
  3. Step 3: Cross multiply
    2,990.89x = 4,127.25 × 1,664.32
  4. Step 4: Simplify right side
    2,990.89x = 6,869,064.72
  5. Step 5: Solve for x
    x = 6,869,064.72/2,990.89
  6. Step 6: Final answer
    x = 2,296.66

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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.