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Finding the Fourth Proportional to 3,173.19, 4,758.12 and 1,323.96

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Solution

The fourth proportional to 3,173.19, 4,758.12 and 1,323.96 is: 1,985.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.19 : 4,758.12 = 1,323.96 : x
  2. Step 2: Convert to fraction form
    3,173.19/4,758.12 = 1,323.96/x
  3. Step 3: Cross multiply
    3,173.19x = 4,758.12 × 1,323.96
  4. Step 4: Simplify right side
    3,173.19x = 6,299,560.56
  5. Step 5: Solve for x
    x = 6,299,560.56/3,173.19
  6. Step 6: Final answer
    x = 1,985.25

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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.