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Finding the Fourth Proportional to 2,830.59, 3,906.24 and 1,571.70

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Solution

The fourth proportional to 2,830.59, 3,906.24 and 1,571.70 is: 2,168.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.59 : 3,906.24 = 1,571.70 : x
  2. Step 2: Convert to fraction form
    2,830.59/3,906.24 = 1,571.70/x
  3. Step 3: Cross multiply
    2,830.59x = 3,906.24 × 1,571.70
  4. Step 4: Simplify right side
    2,830.59x = 6,139,437.41
  5. Step 5: Solve for x
    x = 6,139,437.41/2,830.59
  6. Step 6: Final answer
    x = 2,168.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.