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Finding the Fourth Proportional to 1,783.26, 2,674.24 and 743.06

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Solution

The fourth proportional to 1,783.26, 2,674.24 and 743.06 is: 1,114.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.26 : 2,674.24 = 743.06 : x
  2. Step 2: Convert to fraction form
    1,783.26/2,674.24 = 743.06/x
  3. Step 3: Cross multiply
    1,783.26x = 2,674.24 × 743.06
  4. Step 4: Simplify right side
    1,783.26x = 1,987,125.60
  5. Step 5: Solve for x
    x = 1,987,125.60/1,783.26
  6. Step 6: Final answer
    x = 1,114.32

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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.