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Finding the Fourth Proportional to 2,093.02, 3,139.40 and 706.48

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Solution

The fourth proportional to 2,093.02, 3,139.40 and 706.48 is: 1,059.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.02 : 3,139.40 = 706.48 : x
  2. Step 2: Convert to fraction form
    2,093.02/3,139.40 = 706.48/x
  3. Step 3: Cross multiply
    2,093.02x = 3,139.40 × 706.48
  4. Step 4: Simplify right side
    2,093.02x = 2,217,923.31
  5. Step 5: Solve for x
    x = 2,217,923.31/2,093.02
  6. Step 6: Final answer
    x = 1,059.68

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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.