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Finding the Fourth Proportional to 2,150.74, 2,968.01 and 1,193.64

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Solution

The fourth proportional to 2,150.74, 2,968.01 and 1,193.64 is: 1,647.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.74 : 2,968.01 = 1,193.64 : x
  2. Step 2: Convert to fraction form
    2,150.74/2,968.01 = 1,193.64/x
  3. Step 3: Cross multiply
    2,150.74x = 2,968.01 × 1,193.64
  4. Step 4: Simplify right side
    2,150.74x = 3,542,726.16
  5. Step 5: Solve for x
    x = 3,542,726.16/2,150.74
  6. Step 6: Final answer
    x = 1,647.21

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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.