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Finding the Fourth Proportional to 2,095.82, 3,143.72 and 556.82

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Solution

The fourth proportional to 2,095.82, 3,143.72 and 556.82 is: 835.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.82 : 3,143.72 = 556.82 : x
  2. Step 2: Convert to fraction form
    2,095.82/3,143.72 = 556.82/x
  3. Step 3: Cross multiply
    2,095.82x = 3,143.72 × 556.82
  4. Step 4: Simplify right side
    2,095.82x = 1,750,470.45
  5. Step 5: Solve for x
    x = 1,750,470.45/2,095.82
  6. Step 6: Final answer
    x = 835.22

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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.