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Finding the Fourth Proportional to 2,897.34, 3,997.41 and 1,777.74

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Solution

The fourth proportional to 2,897.34, 3,997.41 and 1,777.74 is: 2,452.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.34 : 3,997.41 = 1,777.74 : x
  2. Step 2: Convert to fraction form
    2,897.34/3,997.41 = 1,777.74/x
  3. Step 3: Cross multiply
    2,897.34x = 3,997.41 × 1,777.74
  4. Step 4: Simplify right side
    2,897.34x = 7,106,355.65
  5. Step 5: Solve for x
    x = 7,106,355.65/2,897.34
  6. Step 6: Final answer
    x = 2,452.72

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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.