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Finding the Fourth Proportional to 2,000.93, 2,993.54 and 1,767.20

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Solution

The fourth proportional to 2,000.93, 2,993.54 and 1,767.20 is: 2,643.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.93 : 2,993.54 = 1,767.20 : x
  2. Step 2: Convert to fraction form
    2,000.93/2,993.54 = 1,767.20/x
  3. Step 3: Cross multiply
    2,000.93x = 2,993.54 × 1,767.20
  4. Step 4: Simplify right side
    2,000.93x = 5,290,182.41
  5. Step 5: Solve for x
    x = 5,290,182.41/2,000.93
  6. Step 6: Final answer
    x = 2,643.86

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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.