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Finding the Fourth Proportional to 2,349.56, 3,525.42 and 889.22

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Solution

The fourth proportional to 2,349.56, 3,525.42 and 889.22 is: 1,334.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.56 : 3,525.42 = 889.22 : x
  2. Step 2: Convert to fraction form
    2,349.56/3,525.42 = 889.22/x
  3. Step 3: Cross multiply
    2,349.56x = 3,525.42 × 889.22
  4. Step 4: Simplify right side
    2,349.56x = 3,134,873.97
  5. Step 5: Solve for x
    x = 3,134,873.97/2,349.56
  6. Step 6: Final answer
    x = 1,334.24

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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.