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Finding the Fourth Proportional to 2,095.27, 3,142.91 and 535.22

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Solution

The fourth proportional to 2,095.27, 3,142.91 and 535.22 is: 802.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.27 : 3,142.91 = 535.22 : x
  2. Step 2: Convert to fraction form
    2,095.27/3,142.91 = 535.22/x
  3. Step 3: Cross multiply
    2,095.27x = 3,142.91 × 535.22
  4. Step 4: Simplify right side
    2,095.27x = 1,682,151.55
  5. Step 5: Solve for x
    x = 1,682,151.55/2,095.27
  6. Step 6: Final answer
    x = 802.83

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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.