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Finding the Fourth Proportional to 2,047.74, 2,826.08 and 1,208.70

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Solution

The fourth proportional to 2,047.74, 2,826.08 and 1,208.70 is: 1,668.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.74 : 2,826.08 = 1,208.70 : x
  2. Step 2: Convert to fraction form
    2,047.74/2,826.08 = 1,208.70/x
  3. Step 3: Cross multiply
    2,047.74x = 2,826.08 × 1,208.70
  4. Step 4: Simplify right side
    2,047.74x = 3,415,876.85
  5. Step 5: Solve for x
    x = 3,415,876.85/2,047.74
  6. Step 6: Final answer
    x = 1,668.12

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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.