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Finding the Fourth Proportional to 2,990.66, 4,127.21 and 1,664.45

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Solution

The fourth proportional to 2,990.66, 4,127.21 and 1,664.45 is: 2,297.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.66 : 4,127.21 = 1,664.45 : x
  2. Step 2: Convert to fraction form
    2,990.66/4,127.21 = 1,664.45/x
  3. Step 3: Cross multiply
    2,990.66x = 4,127.21 × 1,664.45
  4. Step 4: Simplify right side
    2,990.66x = 6,869,549.16
  5. Step 5: Solve for x
    x = 6,869,549.16/2,990.66
  6. Step 6: Final answer
    x = 2,297.00

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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.