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Finding the Fourth Proportional to 2,993.78, 4,490.64 and 2,301.68

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Solution

The fourth proportional to 2,993.78, 4,490.64 and 2,301.68 is: 3,452.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.78 : 4,490.64 = 2,301.68 : x
  2. Step 2: Convert to fraction form
    2,993.78/4,490.64 = 2,301.68/x
  3. Step 3: Cross multiply
    2,993.78x = 4,490.64 × 2,301.68
  4. Step 4: Simplify right side
    2,993.78x = 10,335,993.82
  5. Step 5: Solve for x
    x = 10,335,993.82/2,993.78
  6. Step 6: Final answer
    x = 3,452.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.