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Finding the Fourth Proportional to 2,047.64, 2,826.07 and 1,208.54

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Solution

The fourth proportional to 2,047.64, 2,826.07 and 1,208.54 is: 1,667.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.64 : 2,826.07 = 1,208.54 : x
  2. Step 2: Convert to fraction form
    2,047.64/2,826.07 = 1,208.54/x
  3. Step 3: Cross multiply
    2,047.64x = 2,826.07 × 1,208.54
  4. Step 4: Simplify right side
    2,047.64x = 3,415,429.48
  5. Step 5: Solve for x
    x = 3,415,429.48/2,047.64
  6. Step 6: Final answer
    x = 1,667.99

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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.