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Finding the Fourth Proportional to 3,166.22, 4,744.44 and 1,315.77

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Solution

The fourth proportional to 3,166.22, 4,744.44 and 1,315.77 is: 1,971.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.22 : 4,744.44 = 1,315.77 : x
  2. Step 2: Convert to fraction form
    3,166.22/4,744.44 = 1,315.77/x
  3. Step 3: Cross multiply
    3,166.22x = 4,744.44 × 1,315.77
  4. Step 4: Simplify right side
    3,166.22x = 6,242,591.82
  5. Step 5: Solve for x
    x = 6,242,591.82/3,166.22
  6. Step 6: Final answer
    x = 1,971.63

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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.