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Finding the Fourth Proportional to 3,019.88, 4,529.94 and 828.74

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Solution

The fourth proportional to 3,019.88, 4,529.94 and 828.74 is: 1,243.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.88 : 4,529.94 = 828.74 : x
  2. Step 2: Convert to fraction form
    3,019.88/4,529.94 = 828.74/x
  3. Step 3: Cross multiply
    3,019.88x = 4,529.94 × 828.74
  4. Step 4: Simplify right side
    3,019.88x = 3,754,142.48
  5. Step 5: Solve for x
    x = 3,754,142.48/3,019.88
  6. Step 6: Final answer
    x = 1,243.14

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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.