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Finding the Fourth Proportional to 3,103.92, 4,283.10 and 1,985.22

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Solution

The fourth proportional to 3,103.92, 4,283.10 and 1,985.22 is: 2,739.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.92 : 4,283.10 = 1,985.22 : x
  2. Step 2: Convert to fraction form
    3,103.92/4,283.10 = 1,985.22/x
  3. Step 3: Cross multiply
    3,103.92x = 4,283.10 × 1,985.22
  4. Step 4: Simplify right side
    3,103.92x = 8,502,895.78
  5. Step 5: Solve for x
    x = 8,502,895.78/3,103.92
  6. Step 6: Final answer
    x = 2,739.41

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1.5x scale

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.