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Finding the Fourth Proportional to 2,108.58, 3,157.58 and 1,134.96

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Solution

The fourth proportional to 2,108.58, 3,157.58 and 1,134.96 is: 1,699.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.58 : 3,157.58 = 1,134.96 : x
  2. Step 2: Convert to fraction form
    2,108.58/3,157.58 = 1,134.96/x
  3. Step 3: Cross multiply
    2,108.58x = 3,157.58 × 1,134.96
  4. Step 4: Simplify right side
    2,108.58x = 3,583,727.00
  5. Step 5: Solve for x
    x = 3,583,727.00/2,108.58
  6. Step 6: Final answer
    x = 1,699.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.