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Finding the Fourth Proportional to 2,408.49, 3,612.74 and 946.85

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Solution

The fourth proportional to 2,408.49, 3,612.74 and 946.85 is: 1,420.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.49 : 3,612.74 = 946.85 : x
  2. Step 2: Convert to fraction form
    2,408.49/3,612.74 = 946.85/x
  3. Step 3: Cross multiply
    2,408.49x = 3,612.74 × 946.85
  4. Step 4: Simplify right side
    2,408.49x = 3,420,700.07
  5. Step 5: Solve for x
    x = 3,420,700.07/2,408.49
  6. Step 6: Final answer
    x = 1,420.27

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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.