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Finding the Fourth Proportional to 2,102.76, 2,898.72 and 1,659.96

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Solution

The fourth proportional to 2,102.76, 2,898.72 and 1,659.96 is: 2,288.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.76 : 2,898.72 = 1,659.96 : x
  2. Step 2: Convert to fraction form
    2,102.76/2,898.72 = 1,659.96/x
  3. Step 3: Cross multiply
    2,102.76x = 2,898.72 × 1,659.96
  4. Step 4: Simplify right side
    2,102.76x = 4,811,759.25
  5. Step 5: Solve for x
    x = 4,811,759.25/2,102.76
  6. Step 6: Final answer
    x = 2,288.31

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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.