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Finding the Fourth Proportional to 2,990.99, 4,127.47 and 1,664.66

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Solution

The fourth proportional to 2,990.99, 4,127.47 and 1,664.66 is: 2,297.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.99 : 4,127.47 = 1,664.66 : x
  2. Step 2: Convert to fraction form
    2,990.99/4,127.47 = 1,664.66/x
  3. Step 3: Cross multiply
    2,990.99x = 4,127.47 × 1,664.66
  4. Step 4: Simplify right side
    2,990.99x = 6,870,809.41
  5. Step 5: Solve for x
    x = 6,870,809.41/2,990.99
  6. Step 6: Final answer
    x = 2,297.17

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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.