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Finding the Fourth Proportional to 3,166.32, 4,744 and 1,315.56

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Solution

The fourth proportional to 3,166.32, 4,744 and 1,315.56 is: 1,971.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.32 : 4,744 = 1,315.56 : x
  2. Step 2: Convert to fraction form
    3,166.32/4,744 = 1,315.56/x
  3. Step 3: Cross multiply
    3,166.32x = 4,744 × 1,315.56
  4. Step 4: Simplify right side
    3,166.32x = 6,241,016.64
  5. Step 5: Solve for x
    x = 6,241,016.64/3,166.32
  6. Step 6: Final answer
    x = 1,971.06

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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.