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Finding the Fourth Proportional to 2,057.92, 3,090.52 and 1,695.30

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Solution

The fourth proportional to 2,057.92, 3,090.52 and 1,695.30 is: 2,545.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.92 : 3,090.52 = 1,695.30 : x
  2. Step 2: Convert to fraction form
    2,057.92/3,090.52 = 1,695.30/x
  3. Step 3: Cross multiply
    2,057.92x = 3,090.52 × 1,695.30
  4. Step 4: Simplify right side
    2,057.92x = 5,239,358.56
  5. Step 5: Solve for x
    x = 5,239,358.56/2,057.92
  6. Step 6: Final answer
    x = 2,545.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.