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Finding the Fourth Proportional to 2,602.48, 3,901.90 and 2,194.24

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Solution

The fourth proportional to 2,602.48, 3,901.90 and 2,194.24 is: 3,289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.48 : 3,901.90 = 2,194.24 : x
  2. Step 2: Convert to fraction form
    2,602.48/3,901.90 = 2,194.24/x
  3. Step 3: Cross multiply
    2,602.48x = 3,901.90 × 2,194.24
  4. Step 4: Simplify right side
    2,602.48x = 8,561,705.06
  5. Step 5: Solve for x
    x = 8,561,705.06/2,602.48
  6. Step 6: Final answer
    x = 3,289.83

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1.5x scale

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.