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Finding the Fourth Proportional to 1,784.19, 2,676.54 and 551.37

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Solution

The fourth proportional to 1,784.19, 2,676.54 and 551.37 is: 827.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.19 : 2,676.54 = 551.37 : x
  2. Step 2: Convert to fraction form
    1,784.19/2,676.54 = 551.37/x
  3. Step 3: Cross multiply
    1,784.19x = 2,676.54 × 551.37
  4. Step 4: Simplify right side
    1,784.19x = 1,475,775.96
  5. Step 5: Solve for x
    x = 1,475,775.96/1,784.19
  6. Step 6: Final answer
    x = 827.14

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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.