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Finding the Fourth Proportional to 2,990.62, 4,127.02 and 1,664.35

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Solution

The fourth proportional to 2,990.62, 4,127.02 and 1,664.35 is: 2,296.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.62 : 4,127.02 = 1,664.35 : x
  2. Step 2: Convert to fraction form
    2,990.62/4,127.02 = 1,664.35/x
  3. Step 3: Cross multiply
    2,990.62x = 4,127.02 × 1,664.35
  4. Step 4: Simplify right side
    2,990.62x = 6,868,805.74
  5. Step 5: Solve for x
    x = 6,868,805.74/2,990.62
  6. Step 6: Final answer
    x = 2,296.78

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Why These Related Problems?

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