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Finding the Fourth Proportional to 3,064.58, 4,593.22 and 1,763.31

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Solution

The fourth proportional to 3,064.58, 4,593.22 and 1,763.31 is: 2,642.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.58 : 4,593.22 = 1,763.31 : x
  2. Step 2: Convert to fraction form
    3,064.58/4,593.22 = 1,763.31/x
  3. Step 3: Cross multiply
    3,064.58x = 4,593.22 × 1,763.31
  4. Step 4: Simplify right side
    3,064.58x = 8,099,270.76
  5. Step 5: Solve for x
    x = 8,099,270.76/3,064.58
  6. Step 6: Final answer
    x = 2,642.86

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