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Finding the Fourth Proportional to 3,450.98, 4,762.37 and 2,053.78

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Solution

The fourth proportional to 3,450.98, 4,762.37 and 2,053.78 is: 2,834.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.98 : 4,762.37 = 2,053.78 : x
  2. Step 2: Convert to fraction form
    3,450.98/4,762.37 = 2,053.78/x
  3. Step 3: Cross multiply
    3,450.98x = 4,762.37 × 2,053.78
  4. Step 4: Simplify right side
    3,450.98x = 9,780,860.26
  5. Step 5: Solve for x
    x = 9,780,860.26/3,450.98
  6. Step 6: Final answer
    x = 2,834.23

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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.