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Finding the Fourth Proportional to 2,940.54, 4,382.16 and 2,851.54

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Solution

The fourth proportional to 2,940.54, 4,382.16 and 2,851.54 is: 4,249.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.54 : 4,382.16 = 2,851.54 : x
  2. Step 2: Convert to fraction form
    2,940.54/4,382.16 = 2,851.54/x
  3. Step 3: Cross multiply
    2,940.54x = 4,382.16 × 2,851.54
  4. Step 4: Simplify right side
    2,940.54x = 12,495,904.53
  5. Step 5: Solve for x
    x = 12,495,904.53/2,940.54
  6. Step 6: Final answer
    x = 4,249.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.