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Finding the Fourth Proportional to 2,676.30, 3,694.08 and 1,557.74

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Solution

The fourth proportional to 2,676.30, 3,694.08 and 1,557.74 is: 2,150.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.30 : 3,694.08 = 1,557.74 : x
  2. Step 2: Convert to fraction form
    2,676.30/3,694.08 = 1,557.74/x
  3. Step 3: Cross multiply
    2,676.30x = 3,694.08 × 1,557.74
  4. Step 4: Simplify right side
    2,676.30x = 5,754,416.18
  5. Step 5: Solve for x
    x = 5,754,416.18/2,676.30
  6. Step 6: Final answer
    x = 2,150.14

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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.