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Finding the Fourth Proportional to 4,696.97, 7,045.50 and 1,234.22

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Solution

The fourth proportional to 4,696.97, 7,045.50 and 1,234.22 is: 1,851.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.97 : 7,045.50 = 1,234.22 : x
  2. Step 2: Convert to fraction form
    4,696.97/7,045.50 = 1,234.22/x
  3. Step 3: Cross multiply
    4,696.97x = 7,045.50 × 1,234.22
  4. Step 4: Simplify right side
    4,696.97x = 8,695,661.78
  5. Step 5: Solve for x
    x = 8,695,661.78/4,696.97
  6. Step 6: Final answer
    x = 1,851.34

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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.