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Finding the Fourth Proportional to 2,629.76, 3,629 and 1,434.77

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Solution

The fourth proportional to 2,629.76, 3,629 and 1,434.77 is: 1,979.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,629.76 : 3,629 = 1,434.77 : x
  2. Step 2: Convert to fraction form
    2,629.76/3,629 = 1,434.77/x
  3. Step 3: Cross multiply
    2,629.76x = 3,629 × 1,434.77
  4. Step 4: Simplify right side
    2,629.76x = 5,206,780.33
  5. Step 5: Solve for x
    x = 5,206,780.33/2,629.76
  6. Step 6: Final answer
    x = 1,979.95

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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.