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Finding the Fourth Proportional to 2,093.88, 2,892.12 and 1,533.57

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Solution

The fourth proportional to 2,093.88, 2,892.12 and 1,533.57 is: 2,118.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.88 : 2,892.12 = 1,533.57 : x
  2. Step 2: Convert to fraction form
    2,093.88/2,892.12 = 1,533.57/x
  3. Step 3: Cross multiply
    2,093.88x = 2,892.12 × 1,533.57
  4. Step 4: Simplify right side
    2,093.88x = 4,435,268.47
  5. Step 5: Solve for x
    x = 4,435,268.47/2,093.88
  6. Step 6: Final answer
    x = 2,118.21

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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.