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Finding the Fourth Proportional to 3,430.77, 4,732.74 and 2,251.41

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Solution

The fourth proportional to 3,430.77, 4,732.74 and 2,251.41 is: 3,105.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.77 : 4,732.74 = 2,251.41 : x
  2. Step 2: Convert to fraction form
    3,430.77/4,732.74 = 2,251.41/x
  3. Step 3: Cross multiply
    3,430.77x = 4,732.74 × 2,251.41
  4. Step 4: Simplify right side
    3,430.77x = 10,655,338.16
  5. Step 5: Solve for x
    x = 10,655,338.16/3,430.77
  6. Step 6: Final answer
    x = 3,105.82

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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.