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Finding the Fourth Proportional to 2,993.14, 4,132.38 and 1,931.84

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Solution

The fourth proportional to 2,993.14, 4,132.38 and 1,931.84 is: 2,667.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.14 : 4,132.38 = 1,931.84 : x
  2. Step 2: Convert to fraction form
    2,993.14/4,132.38 = 1,931.84/x
  3. Step 3: Cross multiply
    2,993.14x = 4,132.38 × 1,931.84
  4. Step 4: Simplify right side
    2,993.14x = 7,983,096.98
  5. Step 5: Solve for x
    x = 7,983,096.98/2,993.14
  6. Step 6: Final answer
    x = 2,667.13

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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.