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Finding the Fourth Proportional to 4,927.34, 7,393.17 and 1,640.90

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Solution

The fourth proportional to 4,927.34, 7,393.17 and 1,640.90 is: 2,462.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.34 : 7,393.17 = 1,640.90 : x
  2. Step 2: Convert to fraction form
    4,927.34/7,393.17 = 1,640.90/x
  3. Step 3: Cross multiply
    4,927.34x = 7,393.17 × 1,640.90
  4. Step 4: Simplify right side
    4,927.34x = 12,131,452.65
  5. Step 5: Solve for x
    x = 12,131,452.65/4,927.34
  6. Step 6: Final answer
    x = 2,462.07

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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.