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Finding the Fourth Proportional to 2,533.56, 3,799.64 and 867.66

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Solution

The fourth proportional to 2,533.56, 3,799.64 and 867.66 is: 1,301.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.56 : 3,799.64 = 867.66 : x
  2. Step 2: Convert to fraction form
    2,533.56/3,799.64 = 867.66/x
  3. Step 3: Cross multiply
    2,533.56x = 3,799.64 × 867.66
  4. Step 4: Simplify right side
    2,533.56x = 3,296,795.64
  5. Step 5: Solve for x
    x = 3,296,795.64/2,533.56
  6. Step 6: Final answer
    x = 1,301.25

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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.