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Finding the Fourth Proportional to 1,974.02, 2,724.17 and 1,309.68

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Solution

The fourth proportional to 1,974.02, 2,724.17 and 1,309.68 is: 1,807.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.02 : 2,724.17 = 1,309.68 : x
  2. Step 2: Convert to fraction form
    1,974.02/2,724.17 = 1,309.68/x
  3. Step 3: Cross multiply
    1,974.02x = 2,724.17 × 1,309.68
  4. Step 4: Simplify right side
    1,974.02x = 3,567,784.42
  5. Step 5: Solve for x
    x = 3,567,784.42/1,974.02
  6. Step 6: Final answer
    x = 1,807.37

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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.