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Finding the Fourth Proportional to 2,609.08, 3,910.88 and 964.58

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Solution

The fourth proportional to 2,609.08, 3,910.88 and 964.58 is: 1,445.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.08 : 3,910.88 = 964.58 : x
  2. Step 2: Convert to fraction form
    2,609.08/3,910.88 = 964.58/x
  3. Step 3: Cross multiply
    2,609.08x = 3,910.88 × 964.58
  4. Step 4: Simplify right side
    2,609.08x = 3,772,339.49
  5. Step 5: Solve for x
    x = 3,772,339.49/2,609.08
  6. Step 6: Final answer
    x = 1,445.85

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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.