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Finding the Fourth Proportional to 2,944.62, 4,064.06 and 1,685.43

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Solution

The fourth proportional to 2,944.62, 4,064.06 and 1,685.43 is: 2,326.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.62 : 4,064.06 = 1,685.43 : x
  2. Step 2: Convert to fraction form
    2,944.62/4,064.06 = 1,685.43/x
  3. Step 3: Cross multiply
    2,944.62x = 4,064.06 × 1,685.43
  4. Step 4: Simplify right side
    2,944.62x = 6,849,688.65
  5. Step 5: Solve for x
    x = 6,849,688.65/2,944.62
  6. Step 6: Final answer
    x = 2,326.17

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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.