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Finding the Fourth Proportional to 2,095.81, 3,143.66 and 535.83

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Solution

The fourth proportional to 2,095.81, 3,143.66 and 535.83 is: 803.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.81 : 3,143.66 = 535.83 : x
  2. Step 2: Convert to fraction form
    2,095.81/3,143.66 = 535.83/x
  3. Step 3: Cross multiply
    2,095.81x = 3,143.66 × 535.83
  4. Step 4: Simplify right side
    2,095.81x = 1,684,467.34
  5. Step 5: Solve for x
    x = 1,684,467.34/2,095.81
  6. Step 6: Final answer
    x = 803.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.