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Finding the Fourth Proportional to 3,019.72, 4,529.58 and 828.46

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Solution

The fourth proportional to 3,019.72, 4,529.58 and 828.46 is: 1,242.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.72 : 4,529.58 = 828.46 : x
  2. Step 2: Convert to fraction form
    3,019.72/4,529.58 = 828.46/x
  3. Step 3: Cross multiply
    3,019.72x = 4,529.58 × 828.46
  4. Step 4: Simplify right side
    3,019.72x = 3,752,575.85
  5. Step 5: Solve for x
    x = 3,752,575.85/3,019.72
  6. Step 6: Final answer
    x = 1,242.69

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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.