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Finding the Fourth Proportional to 2,209.64, 3,048.18 and 1,684.76

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Solution

The fourth proportional to 2,209.64, 3,048.18 and 1,684.76 is: 2,324.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.64 : 3,048.18 = 1,684.76 : x
  2. Step 2: Convert to fraction form
    2,209.64/3,048.18 = 1,684.76/x
  3. Step 3: Cross multiply
    2,209.64x = 3,048.18 × 1,684.76
  4. Step 4: Simplify right side
    2,209.64x = 5,135,451.74
  5. Step 5: Solve for x
    x = 5,135,451.74/2,209.64
  6. Step 6: Final answer
    x = 2,324.11

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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.