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Finding the Fourth Proportional to 2,408.02, 3,612.44 and 927.14

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Solution

The fourth proportional to 2,408.02, 3,612.44 and 927.14 is: 1,390.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.02 : 3,612.44 = 927.14 : x
  2. Step 2: Convert to fraction form
    2,408.02/3,612.44 = 927.14/x
  3. Step 3: Cross multiply
    2,408.02x = 3,612.44 × 927.14
  4. Step 4: Simplify right side
    2,408.02x = 3,349,237.62
  5. Step 5: Solve for x
    x = 3,349,237.62/2,408.02
  6. Step 6: Final answer
    x = 1,390.87

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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.