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Finding the Fourth Proportional to 2,522.48, 3,783.74 and 879.02

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Solution

The fourth proportional to 2,522.48, 3,783.74 and 879.02 is: 1,318.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.48 : 3,783.74 = 879.02 : x
  2. Step 2: Convert to fraction form
    2,522.48/3,783.74 = 879.02/x
  3. Step 3: Cross multiply
    2,522.48x = 3,783.74 × 879.02
  4. Step 4: Simplify right side
    2,522.48x = 3,325,974.01
  5. Step 5: Solve for x
    x = 3,325,974.01/2,522.48
  6. Step 6: Final answer
    x = 1,318.53

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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.