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Finding the Fourth Proportional to 2,095.52, 3,143.44 and 556.48

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Solution

The fourth proportional to 2,095.52, 3,143.44 and 556.48 is: 834.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.52 : 3,143.44 = 556.48 : x
  2. Step 2: Convert to fraction form
    2,095.52/3,143.44 = 556.48/x
  3. Step 3: Cross multiply
    2,095.52x = 3,143.44 × 556.48
  4. Step 4: Simplify right side
    2,095.52x = 1,749,261.49
  5. Step 5: Solve for x
    x = 1,749,261.49/2,095.52
  6. Step 6: Final answer
    x = 834.76

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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.