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Finding the Fourth Proportional to 2,899.21, 3,997.74 and 2,154.55

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Solution

The fourth proportional to 2,899.21, 3,997.74 and 2,154.55 is: 2,970.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.21 : 3,997.74 = 2,154.55 : x
  2. Step 2: Convert to fraction form
    2,899.21/3,997.74 = 2,154.55/x
  3. Step 3: Cross multiply
    2,899.21x = 3,997.74 × 2,154.55
  4. Step 4: Simplify right side
    2,899.21x = 8,613,330.72
  5. Step 5: Solve for x
    x = 8,613,330.72/2,899.21
  6. Step 6: Final answer
    x = 2,970.92

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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.