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Finding the Fourth Proportional to 2,762.98, 4,141.46 and 1,377.34

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Solution

The fourth proportional to 2,762.98, 4,141.46 and 1,377.34 is: 2,064.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.98 : 4,141.46 = 1,377.34 : x
  2. Step 2: Convert to fraction form
    2,762.98/4,141.46 = 1,377.34/x
  3. Step 3: Cross multiply
    2,762.98x = 4,141.46 × 1,377.34
  4. Step 4: Simplify right side
    2,762.98x = 5,704,198.52
  5. Step 5: Solve for x
    x = 5,704,198.52/2,762.98
  6. Step 6: Final answer
    x = 2,064.51

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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.