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Finding the Fourth Proportional to 1,784.39, 2,676.98 and 551.97

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Solution

The fourth proportional to 1,784.39, 2,676.98 and 551.97 is: 828.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.39 : 2,676.98 = 551.97 : x
  2. Step 2: Convert to fraction form
    1,784.39/2,676.98 = 551.97/x
  3. Step 3: Cross multiply
    1,784.39x = 2,676.98 × 551.97
  4. Step 4: Simplify right side
    1,784.39x = 1,477,609.89
  5. Step 5: Solve for x
    x = 1,477,609.89/1,784.39
  6. Step 6: Final answer
    x = 828.08

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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.