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Finding the Fourth Proportional to 4,640, 6,960.60 and 2,173.52

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Solution

The fourth proportional to 4,640, 6,960.60 and 2,173.52 is: 3,260.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640 : 6,960.60 = 2,173.52 : x
  2. Step 2: Convert to fraction form
    4,640/6,960.60 = 2,173.52/x
  3. Step 3: Cross multiply
    4,640x = 6,960.60 × 2,173.52
  4. Step 4: Simplify right side
    4,640x = 15,129,003.31
  5. Step 5: Solve for x
    x = 15,129,003.31/4,640
  6. Step 6: Final answer
    x = 3,260.56

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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.