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Finding the Fourth Proportional to 2,048.42, 2,826.77 and 1,209.17

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Solution

The fourth proportional to 2,048.42, 2,826.77 and 1,209.17 is: 1,668.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.42 : 2,826.77 = 1,209.17 : x
  2. Step 2: Convert to fraction form
    2,048.42/2,826.77 = 1,209.17/x
  3. Step 3: Cross multiply
    2,048.42x = 2,826.77 × 1,209.17
  4. Step 4: Simplify right side
    2,048.42x = 3,418,025.30
  5. Step 5: Solve for x
    x = 3,418,025.30/2,048.42
  6. Step 6: Final answer
    x = 1,668.62

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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.