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Finding the Fourth Proportional to 2,830.10, 3,906.01 and 1,571.56

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Solution

The fourth proportional to 2,830.10, 3,906.01 and 1,571.56 is: 2,169.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.10 : 3,906.01 = 1,571.56 : x
  2. Step 2: Convert to fraction form
    2,830.10/3,906.01 = 1,571.56/x
  3. Step 3: Cross multiply
    2,830.10x = 3,906.01 × 1,571.56
  4. Step 4: Simplify right side
    2,830.10x = 6,138,511.45
  5. Step 5: Solve for x
    x = 6,138,511.45/2,830.10
  6. Step 6: Final answer
    x = 2,169.01

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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.