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Finding the Fourth Proportional to 2,093.04, 3,139.76 and 706.56

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Solution

The fourth proportional to 2,093.04, 3,139.76 and 706.56 is: 1,059.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.04 : 3,139.76 = 706.56 : x
  2. Step 2: Convert to fraction form
    2,093.04/3,139.76 = 706.56/x
  3. Step 3: Cross multiply
    2,093.04x = 3,139.76 × 706.56
  4. Step 4: Simplify right side
    2,093.04x = 2,218,418.82
  5. Step 5: Solve for x
    x = 2,218,418.82/2,093.04
  6. Step 6: Final answer
    x = 1,059.90

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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.