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Finding the Fourth Proportional to 2,990.76, 4,127.10 and 1,664.58

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Solution

The fourth proportional to 2,990.76, 4,127.10 and 1,664.58 is: 2,297.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.76 : 4,127.10 = 1,664.58 : x
  2. Step 2: Convert to fraction form
    2,990.76/4,127.10 = 1,664.58/x
  3. Step 3: Cross multiply
    2,990.76x = 4,127.10 × 1,664.58
  4. Step 4: Simplify right side
    2,990.76x = 6,869,888.12
  5. Step 5: Solve for x
    x = 6,869,888.12/2,990.76
  6. Step 6: Final answer
    x = 2,297.04

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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.