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Finding the Fourth Proportional to 2,896.85, 3,997.64 and 1,570.55

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Solution

The fourth proportional to 2,896.85, 3,997.64 and 1,570.55 is: 2,167.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.85 : 3,997.64 = 1,570.55 : x
  2. Step 2: Convert to fraction form
    2,896.85/3,997.64 = 1,570.55/x
  3. Step 3: Cross multiply
    2,896.85x = 3,997.64 × 1,570.55
  4. Step 4: Simplify right side
    2,896.85x = 6,278,495.64
  5. Step 5: Solve for x
    x = 6,278,495.64/2,896.85
  6. Step 6: Final answer
    x = 2,167.35

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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.