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Finding the Fourth Proportional to 4,554.70, 6,832.42 and 1,781.60

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Solution

The fourth proportional to 4,554.70, 6,832.42 and 1,781.60 is: 2,672.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,554.70 : 6,832.42 = 1,781.60 : x
  2. Step 2: Convert to fraction form
    4,554.70/6,832.42 = 1,781.60/x
  3. Step 3: Cross multiply
    4,554.70x = 6,832.42 × 1,781.60
  4. Step 4: Simplify right side
    4,554.70x = 12,172,600.86
  5. Step 5: Solve for x
    x = 12,172,600.86/4,554.70
  6. Step 6: Final answer
    x = 2,672.54

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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.