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Finding the Fourth Proportional to 1,974.83, 2,725.47 and 1,695.99

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Solution

The fourth proportional to 1,974.83, 2,725.47 and 1,695.99 is: 2,340.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.83 : 2,725.47 = 1,695.99 : x
  2. Step 2: Convert to fraction form
    1,974.83/2,725.47 = 1,695.99/x
  3. Step 3: Cross multiply
    1,974.83x = 2,725.47 × 1,695.99
  4. Step 4: Simplify right side
    1,974.83x = 4,622,369.87
  5. Step 5: Solve for x
    x = 4,622,369.87/1,974.83
  6. Step 6: Final answer
    x = 2,340.64

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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.