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Finding the Fourth Proportional to 2,899.72, 4,001.58 and 1,640.86

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Solution

The fourth proportional to 2,899.72, 4,001.58 and 1,640.86 is: 2,264.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.72 : 4,001.58 = 1,640.86 : x
  2. Step 2: Convert to fraction form
    2,899.72/4,001.58 = 1,640.86/x
  3. Step 3: Cross multiply
    2,899.72x = 4,001.58 × 1,640.86
  4. Step 4: Simplify right side
    2,899.72x = 6,566,032.56
  5. Step 5: Solve for x
    x = 6,566,032.56/2,899.72
  6. Step 6: Final answer
    x = 2,264.37

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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.