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Finding the Fourth Proportional to 2,095.86, 3,144.26 and 615.12

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Solution

The fourth proportional to 2,095.86, 3,144.26 and 615.12 is: 922.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.86 : 3,144.26 = 615.12 : x
  2. Step 2: Convert to fraction form
    2,095.86/3,144.26 = 615.12/x
  3. Step 3: Cross multiply
    2,095.86x = 3,144.26 × 615.12
  4. Step 4: Simplify right side
    2,095.86x = 1,934,097.21
  5. Step 5: Solve for x
    x = 1,934,097.21/2,095.86
  6. Step 6: Final answer
    x = 922.82

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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.