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Finding the Fourth Proportional to 2,897.00, 3,997.87 and 1,570.71

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Solution

The fourth proportional to 2,897.00, 3,997.87 and 1,570.71 is: 2,167.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.00 : 3,997.87 = 1,570.71 : x
  2. Step 2: Convert to fraction form
    2,897.00/3,997.87 = 1,570.71/x
  3. Step 3: Cross multiply
    2,897.00x = 3,997.87 × 1,570.71
  4. Step 4: Simplify right side
    2,897.00x = 6,279,475.47
  5. Step 5: Solve for x
    x = 6,279,475.47/2,897.00
  6. Step 6: Final answer
    x = 2,167.58

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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.