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Finding the Fourth Proportional to 2,771.77, 4,157.70 and 797.57

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Solution

The fourth proportional to 2,771.77, 4,157.70 and 797.57 is: 1,196.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.77 : 4,157.70 = 797.57 : x
  2. Step 2: Convert to fraction form
    2,771.77/4,157.70 = 797.57/x
  3. Step 3: Cross multiply
    2,771.77x = 4,157.70 × 797.57
  4. Step 4: Simplify right side
    2,771.77x = 3,316,056.79
  5. Step 5: Solve for x
    x = 3,316,056.79/2,771.77
  6. Step 6: Final answer
    x = 1,196.37

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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.