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Finding the Fourth Proportional to 2,093.16, 3,140.49 and 794.63

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Solution

The fourth proportional to 2,093.16, 3,140.49 and 794.63 is: 1,192.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.16 : 3,140.49 = 794.63 : x
  2. Step 2: Convert to fraction form
    2,093.16/3,140.49 = 794.63/x
  3. Step 3: Cross multiply
    2,093.16x = 3,140.49 × 794.63
  4. Step 4: Simplify right side
    2,093.16x = 2,495,527.57
  5. Step 5: Solve for x
    x = 2,495,527.57/2,093.16
  6. Step 6: Final answer
    x = 1,192.23

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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.