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Finding the Fourth Proportional to 2,899.42, 4,001.27 and 1,640.41

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Solution

The fourth proportional to 2,899.42, 4,001.27 and 1,640.41 is: 2,263.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.42 : 4,001.27 = 1,640.41 : x
  2. Step 2: Convert to fraction form
    2,899.42/4,001.27 = 1,640.41/x
  3. Step 3: Cross multiply
    2,899.42x = 4,001.27 × 1,640.41
  4. Step 4: Simplify right side
    2,899.42x = 6,563,723.32
  5. Step 5: Solve for x
    x = 6,563,723.32/2,899.42
  6. Step 6: Final answer
    x = 2,263.81

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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.