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Finding the Fourth Proportional to 2,053.53, 2,832.98 and 1,213.70

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Solution

The fourth proportional to 2,053.53, 2,832.98 and 1,213.70 is: 1,674.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.53 : 2,832.98 = 1,213.70 : x
  2. Step 2: Convert to fraction form
    2,053.53/2,832.98 = 1,213.70/x
  3. Step 3: Cross multiply
    2,053.53x = 2,832.98 × 1,213.70
  4. Step 4: Simplify right side
    2,053.53x = 3,438,367.59
  5. Step 5: Solve for x
    x = 3,438,367.59/2,053.53
  6. Step 6: Final answer
    x = 1,674.37

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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.