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Finding the Fourth Proportional to 3,256.68, 4,885.02 and 2,100

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Solution

The fourth proportional to 3,256.68, 4,885.02 and 2,100 is: 3,150

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.68 : 4,885.02 = 2,100 : x
  2. Step 2: Convert to fraction form
    3,256.68/4,885.02 = 2,100/x
  3. Step 3: Cross multiply
    3,256.68x = 4,885.02 × 2,100
  4. Step 4: Simplify right side
    3,256.68x = 10,258,542
  5. Step 5: Solve for x
    x = 10,258,542/3,256.68
  6. Step 6: Final answer
    x = 3,150

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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.