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Finding the Fourth Proportional to 2,684.04, 3,706.22 and 1,690.92

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Solution

The fourth proportional to 2,684.04, 3,706.22 and 1,690.92 is: 2,334.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.04 : 3,706.22 = 1,690.92 : x
  2. Step 2: Convert to fraction form
    2,684.04/3,706.22 = 1,690.92/x
  3. Step 3: Cross multiply
    2,684.04x = 3,706.22 × 1,690.92
  4. Step 4: Simplify right side
    2,684.04x = 6,266,921.52
  5. Step 5: Solve for x
    x = 6,266,921.52/2,684.04
  6. Step 6: Final answer
    x = 2,334.88

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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.