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Finding the Fourth Proportional to 2,439.72, 3,660.41 and 774.12

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Solution

The fourth proportional to 2,439.72, 3,660.41 and 774.12 is: 1,161.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439.72 : 3,660.41 = 774.12 : x
  2. Step 2: Convert to fraction form
    2,439.72/3,660.41 = 774.12/x
  3. Step 3: Cross multiply
    2,439.72x = 3,660.41 × 774.12
  4. Step 4: Simplify right side
    2,439.72x = 2,833,612.25
  5. Step 5: Solve for x
    x = 2,833,612.25/2,439.72
  6. Step 6: Final answer
    x = 1,161.45

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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.