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Finding the Fourth Proportional to 2,899.89, 4,001.85 and 1,573.62

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Solution

The fourth proportional to 2,899.89, 4,001.85 and 1,573.62 is: 2,171.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.89 : 4,001.85 = 1,573.62 : x
  2. Step 2: Convert to fraction form
    2,899.89/4,001.85 = 1,573.62/x
  3. Step 3: Cross multiply
    2,899.89x = 4,001.85 × 1,573.62
  4. Step 4: Simplify right side
    2,899.89x = 6,297,391.20
  5. Step 5: Solve for x
    x = 6,297,391.20/2,899.89
  6. Step 6: Final answer
    x = 2,171.60

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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.