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Finding the Fourth Proportional to 4,640.92, 6,959.76 and 2,043.16

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Solution

The fourth proportional to 4,640.92, 6,959.76 and 2,043.16 is: 3,064.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.92 : 6,959.76 = 2,043.16 : x
  2. Step 2: Convert to fraction form
    4,640.92/6,959.76 = 2,043.16/x
  3. Step 3: Cross multiply
    4,640.92x = 6,959.76 × 2,043.16
  4. Step 4: Simplify right side
    4,640.92x = 14,219,903.24
  5. Step 5: Solve for x
    x = 14,219,903.24/4,640.92
  6. Step 6: Final answer
    x = 3,064.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.