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Finding the Fourth Proportional to 1,784.17, 2,676.35 and 551.77

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Solution

The fourth proportional to 1,784.17, 2,676.35 and 551.77 is: 827.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.17 : 2,676.35 = 551.77 : x
  2. Step 2: Convert to fraction form
    1,784.17/2,676.35 = 551.77/x
  3. Step 3: Cross multiply
    1,784.17x = 2,676.35 × 551.77
  4. Step 4: Simplify right side
    1,784.17x = 1,476,729.64
  5. Step 5: Solve for x
    x = 1,476,729.64/1,784.17
  6. Step 6: Final answer
    x = 827.68

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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.