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Finding the Fourth Proportional to 2,571.96, 3,859.20 and 928.86

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Solution

The fourth proportional to 2,571.96, 3,859.20 and 928.86 is: 1,393.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.96 : 3,859.20 = 928.86 : x
  2. Step 2: Convert to fraction form
    2,571.96/3,859.20 = 928.86/x
  3. Step 3: Cross multiply
    2,571.96x = 3,859.20 × 928.86
  4. Step 4: Simplify right side
    2,571.96x = 3,584,656.51
  5. Step 5: Solve for x
    x = 3,584,656.51/2,571.96
  6. Step 6: Final answer
    x = 1,393.75

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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.