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Finding the Fourth Proportional to 2,093.60, 3,141.82 and 1,120.40

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Solution

The fourth proportional to 2,093.60, 3,141.82 and 1,120.40 is: 1,681.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.60 : 3,141.82 = 1,120.40 : x
  2. Step 2: Convert to fraction form
    2,093.60/3,141.82 = 1,120.40/x
  3. Step 3: Cross multiply
    2,093.60x = 3,141.82 × 1,120.40
  4. Step 4: Simplify right side
    2,093.60x = 3,520,095.13
  5. Step 5: Solve for x
    x = 3,520,095.13/2,093.60
  6. Step 6: Final answer
    x = 1,681.36

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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.