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Finding the Fourth Proportional to 2,990.74, 4,127.38 and 1,664.56

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Solution

The fourth proportional to 2,990.74, 4,127.38 and 1,664.56 is: 2,297.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.74 : 4,127.38 = 1,664.56 : x
  2. Step 2: Convert to fraction form
    2,990.74/4,127.38 = 1,664.56/x
  3. Step 3: Cross multiply
    2,990.74x = 4,127.38 × 1,664.56
  4. Step 4: Simplify right side
    2,990.74x = 6,870,271.65
  5. Step 5: Solve for x
    x = 6,870,271.65/2,990.74
  6. Step 6: Final answer
    x = 2,297.18

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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.