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Finding the Fourth Proportional to 3,022.71, 4,533.48 and 830.88

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Solution

The fourth proportional to 3,022.71, 4,533.48 and 830.88 is: 1,246.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.71 : 4,533.48 = 830.88 : x
  2. Step 2: Convert to fraction form
    3,022.71/4,533.48 = 830.88/x
  3. Step 3: Cross multiply
    3,022.71x = 4,533.48 × 830.88
  4. Step 4: Simplify right side
    3,022.71x = 3,766,777.86
  5. Step 5: Solve for x
    x = 3,766,777.86/3,022.71
  6. Step 6: Final answer
    x = 1,246.16

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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.