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Finding the Fourth Proportional to 2,314.82, 3,472.03 and 1,204.24

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Solution

The fourth proportional to 2,314.82, 3,472.03 and 1,204.24 is: 1,806.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.82 : 3,472.03 = 1,204.24 : x
  2. Step 2: Convert to fraction form
    2,314.82/3,472.03 = 1,204.24/x
  3. Step 3: Cross multiply
    2,314.82x = 3,472.03 × 1,204.24
  4. Step 4: Simplify right side
    2,314.82x = 4,181,157.41
  5. Step 5: Solve for x
    x = 4,181,157.41/2,314.82
  6. Step 6: Final answer
    x = 1,806.26

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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.