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Finding the Fourth Proportional to 2,899, 4,000.62 and 1,657

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Solution

The fourth proportional to 2,899, 4,000.62 and 1,657 is: 2,286.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899 : 4,000.62 = 1,657 : x
  2. Step 2: Convert to fraction form
    2,899/4,000.62 = 1,657/x
  3. Step 3: Cross multiply
    2,899x = 4,000.62 × 1,657
  4. Step 4: Simplify right side
    2,899x = 6,629,027.34
  5. Step 5: Solve for x
    x = 6,629,027.34/2,899
  6. Step 6: Final answer
    x = 2,286.66

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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.