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Finding the Fourth Proportional to 2,934.86, 4,055.22 and 2,310.38

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Solution

The fourth proportional to 2,934.86, 4,055.22 and 2,310.38 is: 3,192.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.86 : 4,055.22 = 2,310.38 : x
  2. Step 2: Convert to fraction form
    2,934.86/4,055.22 = 2,310.38/x
  3. Step 3: Cross multiply
    2,934.86x = 4,055.22 × 2,310.38
  4. Step 4: Simplify right side
    2,934.86x = 9,369,099.18
  5. Step 5: Solve for x
    x = 9,369,099.18/2,934.86
  6. Step 6: Final answer
    x = 3,192.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.