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Finding the Fourth Proportional to 2,104.83, 3,157.94 and 934.67

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Solution

The fourth proportional to 2,104.83, 3,157.94 and 934.67 is: 1,402.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.83 : 3,157.94 = 934.67 : x
  2. Step 2: Convert to fraction form
    2,104.83/3,157.94 = 934.67/x
  3. Step 3: Cross multiply
    2,104.83x = 3,157.94 × 934.67
  4. Step 4: Simplify right side
    2,104.83x = 2,951,631.78
  5. Step 5: Solve for x
    x = 2,951,631.78/2,104.83
  6. Step 6: Final answer
    x = 1,402.31

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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.