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Finding the Fourth Proportional to 3,022.12, 4,533.02 and 970.12

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Solution

The fourth proportional to 3,022.12, 4,533.02 and 970.12 is: 1,455.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.12 : 4,533.02 = 970.12 : x
  2. Step 2: Convert to fraction form
    3,022.12/4,533.02 = 970.12/x
  3. Step 3: Cross multiply
    3,022.12x = 4,533.02 × 970.12
  4. Step 4: Simplify right side
    3,022.12x = 4,397,573.36
  5. Step 5: Solve for x
    x = 4,397,573.36/3,022.12
  6. Step 6: Final answer
    x = 1,455.13

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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.