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Finding the Fourth Proportional to 3,172.40, 4,378.20 and 2,053.88

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Solution

The fourth proportional to 3,172.40, 4,378.20 and 2,053.88 is: 2,834.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.40 : 4,378.20 = 2,053.88 : x
  2. Step 2: Convert to fraction form
    3,172.40/4,378.20 = 2,053.88/x
  3. Step 3: Cross multiply
    3,172.40x = 4,378.20 × 2,053.88
  4. Step 4: Simplify right side
    3,172.40x = 8,992,297.42
  5. Step 5: Solve for x
    x = 8,992,297.42/3,172.40
  6. Step 6: Final answer
    x = 2,834.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.