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Finding the Fourth Proportional to 2,529.55, 3,794.55 and 969.49

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Solution

The fourth proportional to 2,529.55, 3,794.55 and 969.49 is: 1,454.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.55 : 3,794.55 = 969.49 : x
  2. Step 2: Convert to fraction form
    2,529.55/3,794.55 = 969.49/x
  3. Step 3: Cross multiply
    2,529.55x = 3,794.55 × 969.49
  4. Step 4: Simplify right side
    2,529.55x = 3,678,778.28
  5. Step 5: Solve for x
    x = 3,678,778.28/2,529.55
  6. Step 6: Final answer
    x = 1,454.32

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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.