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Finding the Fourth Proportional to 2,335.69, 3,503.91 and 949.15

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Solution

The fourth proportional to 2,335.69, 3,503.91 and 949.15 is: 1,423.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.69 : 3,503.91 = 949.15 : x
  2. Step 2: Convert to fraction form
    2,335.69/3,503.91 = 949.15/x
  3. Step 3: Cross multiply
    2,335.69x = 3,503.91 × 949.15
  4. Step 4: Simplify right side
    2,335.69x = 3,325,736.18
  5. Step 5: Solve for x
    x = 3,325,736.18/2,335.69
  6. Step 6: Final answer
    x = 1,423.88

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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.