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Finding the Fourth Proportional to 2,684.57, 3,705.66 and 2,023.30

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Solution

The fourth proportional to 2,684.57, 3,705.66 and 2,023.30 is: 2,792.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.57 : 3,705.66 = 2,023.30 : x
  2. Step 2: Convert to fraction form
    2,684.57/3,705.66 = 2,023.30/x
  3. Step 3: Cross multiply
    2,684.57x = 3,705.66 × 2,023.30
  4. Step 4: Simplify right side
    2,684.57x = 7,497,661.88
  5. Step 5: Solve for x
    x = 7,497,661.88/2,684.57
  6. Step 6: Final answer
    x = 2,792.88

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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.