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Finding the Fourth Proportional to 1,784.61, 2,675.91 and 743.49

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Solution

The fourth proportional to 1,784.61, 2,675.91 and 743.49 is: 1,114.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.61 : 2,675.91 = 743.49 : x
  2. Step 2: Convert to fraction form
    1,784.61/2,675.91 = 743.49/x
  3. Step 3: Cross multiply
    1,784.61x = 2,675.91 × 743.49
  4. Step 4: Simplify right side
    1,784.61x = 1,989,512.33
  5. Step 5: Solve for x
    x = 1,989,512.33/1,784.61
  6. Step 6: Final answer
    x = 1,114.82

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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.