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Finding the Fourth Proportional to 2,095.96, 3,144.76 and 635.26

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Solution

The fourth proportional to 2,095.96, 3,144.76 and 635.26 is: 953.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.96 : 3,144.76 = 635.26 : x
  2. Step 2: Convert to fraction form
    2,095.96/3,144.76 = 635.26/x
  3. Step 3: Cross multiply
    2,095.96x = 3,144.76 × 635.26
  4. Step 4: Simplify right side
    2,095.96x = 1,997,740.24
  5. Step 5: Solve for x
    x = 1,997,740.24/2,095.96
  6. Step 6: Final answer
    x = 953.14

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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.