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Finding the Fourth Proportional to 2,093.12, 3,136.40 and 1,322

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Solution

The fourth proportional to 2,093.12, 3,136.40 and 1,322 is: 1,980.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.12 : 3,136.40 = 1,322 : x
  2. Step 2: Convert to fraction form
    2,093.12/3,136.40 = 1,322/x
  3. Step 3: Cross multiply
    2,093.12x = 3,136.40 × 1,322
  4. Step 4: Simplify right side
    2,093.12x = 4,146,320.80
  5. Step 5: Solve for x
    x = 4,146,320.80/2,093.12
  6. Step 6: Final answer
    x = 1,980.93

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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.