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Finding the Fourth Proportional to 2,896.94, 3,997.74 and 1,570.64

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Solution

The fourth proportional to 2,896.94, 3,997.74 and 1,570.64 is: 2,167.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.94 : 3,997.74 = 1,570.64 : x
  2. Step 2: Convert to fraction form
    2,896.94/3,997.74 = 1,570.64/x
  3. Step 3: Cross multiply
    2,896.94x = 3,997.74 × 1,570.64
  4. Step 4: Simplify right side
    2,896.94x = 6,279,010.35
  5. Step 5: Solve for x
    x = 6,279,010.35/2,896.94
  6. Step 6: Final answer
    x = 2,167.46

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1.5x scale

Why These Related Problems?

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