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Finding the Fourth Proportional to 2,571.17, 3,856.70 and 623.39

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Solution

The fourth proportional to 2,571.17, 3,856.70 and 623.39 is: 935.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.17 : 3,856.70 = 623.39 : x
  2. Step 2: Convert to fraction form
    2,571.17/3,856.70 = 623.39/x
  3. Step 3: Cross multiply
    2,571.17x = 3,856.70 × 623.39
  4. Step 4: Simplify right side
    2,571.17x = 2,404,205.81
  5. Step 5: Solve for x
    x = 2,404,205.81/2,571.17
  6. Step 6: Final answer
    x = 935.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.