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Finding the Fourth Proportional to 2,993.65, 4,131.16 and 1,667.47

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Solution

The fourth proportional to 2,993.65, 4,131.16 and 1,667.47 is: 2,301.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.65 : 4,131.16 = 1,667.47 : x
  2. Step 2: Convert to fraction form
    2,993.65/4,131.16 = 1,667.47/x
  3. Step 3: Cross multiply
    2,993.65x = 4,131.16 × 1,667.47
  4. Step 4: Simplify right side
    2,993.65x = 6,888,585.37
  5. Step 5: Solve for x
    x = 6,888,585.37/2,993.65
  6. Step 6: Final answer
    x = 2,301.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.