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Finding the Fourth Proportional to 2,201.64, 3,037.14 and 1,676.76

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Solution

The fourth proportional to 2,201.64, 3,037.14 and 1,676.76 is: 2,313.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.64 : 3,037.14 = 1,676.76 : x
  2. Step 2: Convert to fraction form
    2,201.64/3,037.14 = 1,676.76/x
  3. Step 3: Cross multiply
    2,201.64x = 3,037.14 × 1,676.76
  4. Step 4: Simplify right side
    2,201.64x = 5,092,554.87
  5. Step 5: Solve for x
    x = 5,092,554.87/2,201.64
  6. Step 6: Final answer
    x = 2,313.07

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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.