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Finding the Fourth Proportional to 2,944.64, 4,062.44 and 1,685.02

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Solution

The fourth proportional to 2,944.64, 4,062.44 and 1,685.02 is: 2,324.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.64 : 4,062.44 = 1,685.02 : x
  2. Step 2: Convert to fraction form
    2,944.64/4,062.44 = 1,685.02/x
  3. Step 3: Cross multiply
    2,944.64x = 4,062.44 × 1,685.02
  4. Step 4: Simplify right side
    2,944.64x = 6,845,292.65
  5. Step 5: Solve for x
    x = 6,845,292.65/2,944.64
  6. Step 6: Final answer
    x = 2,324.66

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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.