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Finding the Fourth Proportional to 4,696.54, 7,044.81 and 1,233.50

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Solution

The fourth proportional to 4,696.54, 7,044.81 and 1,233.50 is: 1,850.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.54 : 7,044.81 = 1,233.50 : x
  2. Step 2: Convert to fraction form
    4,696.54/7,044.81 = 1,233.50/x
  3. Step 3: Cross multiply
    4,696.54x = 7,044.81 × 1,233.50
  4. Step 4: Simplify right side
    4,696.54x = 8,689,773.14
  5. Step 5: Solve for x
    x = 8,689,773.14/4,696.54
  6. Step 6: Final answer
    x = 1,850.25

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Why These Related Problems?

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