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Finding the Fourth Proportional to 1,923.26, 2,655.04 and 1,450.42

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Solution

The fourth proportional to 1,923.26, 2,655.04 and 1,450.42 is: 2,002.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.26 : 2,655.04 = 1,450.42 : x
  2. Step 2: Convert to fraction form
    1,923.26/2,655.04 = 1,450.42/x
  3. Step 3: Cross multiply
    1,923.26x = 2,655.04 × 1,450.42
  4. Step 4: Simplify right side
    1,923.26x = 3,850,923.12
  5. Step 5: Solve for x
    x = 3,850,923.12/1,923.26
  6. Step 6: Final answer
    x = 2,002.29

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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.