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Finding the Fourth Proportional to 2,095.52, 3,143.32 and 634.72

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Solution

The fourth proportional to 2,095.52, 3,143.32 and 634.72 is: 952.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.52 : 3,143.32 = 634.72 : x
  2. Step 2: Convert to fraction form
    2,095.52/3,143.32 = 634.72/x
  3. Step 3: Cross multiply
    2,095.52x = 3,143.32 × 634.72
  4. Step 4: Simplify right side
    2,095.52x = 1,995,128.07
  5. Step 5: Solve for x
    x = 1,995,128.07/2,095.52
  6. Step 6: Final answer
    x = 952.09

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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.