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Finding the Fourth Proportional to 2,095.56, 3,143.36 and 556.56

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Solution

The fourth proportional to 2,095.56, 3,143.36 and 556.56 is: 834.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.56 : 3,143.36 = 556.56 : x
  2. Step 2: Convert to fraction form
    2,095.56/3,143.36 = 556.56/x
  3. Step 3: Cross multiply
    2,095.56x = 3,143.36 × 556.56
  4. Step 4: Simplify right side
    2,095.56x = 1,749,468.44
  5. Step 5: Solve for x
    x = 1,749,468.44/2,095.56
  6. Step 6: Final answer
    x = 834.85

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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.