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Finding the Fourth Proportional to 2,232.56, 3,349.56 and 1,079.12

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Solution

The fourth proportional to 2,232.56, 3,349.56 and 1,079.12 is: 1,619.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.56 : 3,349.56 = 1,079.12 : x
  2. Step 2: Convert to fraction form
    2,232.56/3,349.56 = 1,079.12/x
  3. Step 3: Cross multiply
    2,232.56x = 3,349.56 × 1,079.12
  4. Step 4: Simplify right side
    2,232.56x = 3,614,577.19
  5. Step 5: Solve for x
    x = 3,614,577.19/2,232.56
  6. Step 6: Final answer
    x = 1,619.03

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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.