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Finding the Fourth Proportional to 2,571.85, 3,848.21 and 1,532.42

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Solution

The fourth proportional to 2,571.85, 3,848.21 and 1,532.42 is: 2,292.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.85 : 3,848.21 = 1,532.42 : x
  2. Step 2: Convert to fraction form
    2,571.85/3,848.21 = 1,532.42/x
  3. Step 3: Cross multiply
    2,571.85x = 3,848.21 × 1,532.42
  4. Step 4: Simplify right side
    2,571.85x = 5,897,067.24
  5. Step 5: Solve for x
    x = 5,897,067.24/2,571.85
  6. Step 6: Final answer
    x = 2,292.93

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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.