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Finding the Fourth Proportional to 2,374.56, 3,561.74 and 731.03

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Solution

The fourth proportional to 2,374.56, 3,561.74 and 731.03 is: 1,096.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.56 : 3,561.74 = 731.03 : x
  2. Step 2: Convert to fraction form
    2,374.56/3,561.74 = 731.03/x
  3. Step 3: Cross multiply
    2,374.56x = 3,561.74 × 731.03
  4. Step 4: Simplify right side
    2,374.56x = 2,603,717.33
  5. Step 5: Solve for x
    x = 2,603,717.33/2,374.56
  6. Step 6: Final answer
    x = 1,096.51

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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.