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Finding the Fourth Proportional to 3,104.01, 4,283.46 and 1,687.68

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Solution

The fourth proportional to 3,104.01, 4,283.46 and 1,687.68 is: 2,328.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.01 : 4,283.46 = 1,687.68 : x
  2. Step 2: Convert to fraction form
    3,104.01/4,283.46 = 1,687.68/x
  3. Step 3: Cross multiply
    3,104.01x = 4,283.46 × 1,687.68
  4. Step 4: Simplify right side
    3,104.01x = 7,229,109.77
  5. Step 5: Solve for x
    x = 7,229,109.77/3,104.01
  6. Step 6: Final answer
    x = 2,328.96

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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.