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Finding the Fourth Proportional to 2,964.77, 4,088.31 and 2,546.51

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Solution

The fourth proportional to 2,964.77, 4,088.31 and 2,546.51 is: 3,511.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.77 : 4,088.31 = 2,546.51 : x
  2. Step 2: Convert to fraction form
    2,964.77/4,088.31 = 2,546.51/x
  3. Step 3: Cross multiply
    2,964.77x = 4,088.31 × 2,546.51
  4. Step 4: Simplify right side
    2,964.77x = 10,410,901.86
  5. Step 5: Solve for x
    x = 10,410,901.86/2,964.77
  6. Step 6: Final answer
    x = 3,511.54

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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.