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Finding the Fourth Proportional to 2,093.97, 3,140.73 and 1,053.55

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Solution

The fourth proportional to 2,093.97, 3,140.73 and 1,053.55 is: 1,580.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.97 : 3,140.73 = 1,053.55 : x
  2. Step 2: Convert to fraction form
    2,093.97/3,140.73 = 1,053.55/x
  3. Step 3: Cross multiply
    2,093.97x = 3,140.73 × 1,053.55
  4. Step 4: Simplify right side
    2,093.97x = 3,308,900.39
  5. Step 5: Solve for x
    x = 3,308,900.39/2,093.97
  6. Step 6: Final answer
    x = 1,580.21

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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.