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Finding the Fourth Proportional to 1,695.70, 2,350.66 and 1,665.37

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Solution

The fourth proportional to 1,695.70, 2,350.66 and 1,665.37 is: 2,308.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.70 : 2,350.66 = 1,665.37 : x
  2. Step 2: Convert to fraction form
    1,695.70/2,350.66 = 1,665.37/x
  3. Step 3: Cross multiply
    1,695.70x = 2,350.66 × 1,665.37
  4. Step 4: Simplify right side
    1,695.70x = 3,914,718.64
  5. Step 5: Solve for x
    x = 3,914,718.64/1,695.70
  6. Step 6: Final answer
    x = 2,308.62

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.