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Finding the Fourth Proportional to 2,851.10, 3,925.74 and 2,144

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Solution

The fourth proportional to 2,851.10, 3,925.74 and 2,144 is: 2,952.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.10 : 3,925.74 = 2,144 : x
  2. Step 2: Convert to fraction form
    2,851.10/3,925.74 = 2,144/x
  3. Step 3: Cross multiply
    2,851.10x = 3,925.74 × 2,144
  4. Step 4: Simplify right side
    2,851.10x = 8,416,786.56
  5. Step 5: Solve for x
    x = 8,416,786.56/2,851.10
  6. Step 6: Final answer
    x = 2,952.12

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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.