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Finding the Fourth Proportional to 3,172.56, 4,758.60 and 864.24

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Solution

The fourth proportional to 3,172.56, 4,758.60 and 864.24 is: 1,296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.56 : 4,758.60 = 864.24 : x
  2. Step 2: Convert to fraction form
    3,172.56/4,758.60 = 864.24/x
  3. Step 3: Cross multiply
    3,172.56x = 4,758.60 × 864.24
  4. Step 4: Simplify right side
    3,172.56x = 4,112,572.46
  5. Step 5: Solve for x
    x = 4,112,572.46/3,172.56
  6. Step 6: Final answer
    x = 1,296.29

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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.