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Finding the Fourth Proportional to 2,570.77, 3,852.87 and 2,224.09

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Solution

The fourth proportional to 2,570.77, 3,852.87 and 2,224.09 is: 3,333.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.77 : 3,852.87 = 2,224.09 : x
  2. Step 2: Convert to fraction form
    2,570.77/3,852.87 = 2,224.09/x
  3. Step 3: Cross multiply
    2,570.77x = 3,852.87 × 2,224.09
  4. Step 4: Simplify right side
    2,570.77x = 8,569,129.64
  5. Step 5: Solve for x
    x = 8,569,129.64/2,570.77
  6. Step 6: Final answer
    x = 3,333.29

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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.