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Finding the Fourth Proportional to 2,137.83, 2,950.23 and 1,229.48

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Solution

The fourth proportional to 2,137.83, 2,950.23 and 1,229.48 is: 1,696.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.83 : 2,950.23 = 1,229.48 : x
  2. Step 2: Convert to fraction form
    2,137.83/2,950.23 = 1,229.48/x
  3. Step 3: Cross multiply
    2,137.83x = 2,950.23 × 1,229.48
  4. Step 4: Simplify right side
    2,137.83x = 3,627,256.16
  5. Step 5: Solve for x
    x = 3,627,256.16/2,137.83
  6. Step 6: Final answer
    x = 1,696.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.