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Finding the Fourth Proportional to 2,571.71, 3,857.54 and 722.85

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Solution

The fourth proportional to 2,571.71, 3,857.54 and 722.85 is: 1,084.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.71 : 3,857.54 = 722.85 : x
  2. Step 2: Convert to fraction form
    2,571.71/3,857.54 = 722.85/x
  3. Step 3: Cross multiply
    2,571.71x = 3,857.54 × 722.85
  4. Step 4: Simplify right side
    2,571.71x = 2,788,419.17
  5. Step 5: Solve for x
    x = 2,788,419.17/2,571.71
  6. Step 6: Final answer
    x = 1,084.27

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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.