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Finding the Fourth Proportional to 2,095.85, 3,144.45 and 635.15

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Solution

The fourth proportional to 2,095.85, 3,144.45 and 635.15 is: 952.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.85 : 3,144.45 = 635.15 : x
  2. Step 2: Convert to fraction form
    2,095.85/3,144.45 = 635.15/x
  3. Step 3: Cross multiply
    2,095.85x = 3,144.45 × 635.15
  4. Step 4: Simplify right side
    2,095.85x = 1,997,197.42
  5. Step 5: Solve for x
    x = 1,997,197.42/2,095.85
  6. Step 6: Final answer
    x = 952.93

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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.