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Finding the Fourth Proportional to 1,784.43, 2,676.51 and 551.86

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Solution

The fourth proportional to 1,784.43, 2,676.51 and 551.86 is: 827.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.43 : 2,676.51 = 551.86 : x
  2. Step 2: Convert to fraction form
    1,784.43/2,676.51 = 551.86/x
  3. Step 3: Cross multiply
    1,784.43x = 2,676.51 × 551.86
  4. Step 4: Simplify right side
    1,784.43x = 1,477,052.12
  5. Step 5: Solve for x
    x = 1,477,052.12/1,784.43
  6. Step 6: Final answer
    x = 827.74

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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.