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Finding the Fourth Proportional to 2,990.34, 4,126.62 and 1,664.04

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Solution

The fourth proportional to 2,990.34, 4,126.62 and 1,664.04 is: 2,296.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.34 : 4,126.62 = 1,664.04 : x
  2. Step 2: Convert to fraction form
    2,990.34/4,126.62 = 1,664.04/x
  3. Step 3: Cross multiply
    2,990.34x = 4,126.62 × 1,664.04
  4. Step 4: Simplify right side
    2,990.34x = 6,866,860.74
  5. Step 5: Solve for x
    x = 6,866,860.74/2,990.34
  6. Step 6: Final answer
    x = 2,296.35

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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.