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Finding the Fourth Proportional to 3,172.92, 4,378.02 and 2,053.70

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Solution

The fourth proportional to 3,172.92, 4,378.02 and 2,053.70 is: 2,833.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.92 : 4,378.02 = 2,053.70 : x
  2. Step 2: Convert to fraction form
    3,172.92/4,378.02 = 2,053.70/x
  3. Step 3: Cross multiply
    3,172.92x = 4,378.02 × 2,053.70
  4. Step 4: Simplify right side
    3,172.92x = 8,991,167.81
  5. Step 5: Solve for x
    x = 8,991,167.81/3,172.92
  6. Step 6: Final answer
    x = 2,833.72

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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.