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Finding the Fourth Proportional to 2,361.67, 3,259.17 and 1,299.47

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Solution

The fourth proportional to 2,361.67, 3,259.17 and 1,299.47 is: 1,793.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.67 : 3,259.17 = 1,299.47 : x
  2. Step 2: Convert to fraction form
    2,361.67/3,259.17 = 1,299.47/x
  3. Step 3: Cross multiply
    2,361.67x = 3,259.17 × 1,299.47
  4. Step 4: Simplify right side
    2,361.67x = 4,235,177.34
  5. Step 5: Solve for x
    x = 4,235,177.34/2,361.67
  6. Step 6: Final answer
    x = 1,793.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.