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Finding the Fourth Proportional to 2,232.48, 3,349.02 and 771.54

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Solution

The fourth proportional to 2,232.48, 3,349.02 and 771.54 is: 1,157.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.48 : 3,349.02 = 771.54 : x
  2. Step 2: Convert to fraction form
    2,232.48/3,349.02 = 771.54/x
  3. Step 3: Cross multiply
    2,232.48x = 3,349.02 × 771.54
  4. Step 4: Simplify right side
    2,232.48x = 2,583,902.89
  5. Step 5: Solve for x
    x = 2,583,902.89/2,232.48
  6. Step 6: Final answer
    x = 1,157.41

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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.