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Finding the Fourth Proportional to 2,111.61, 3,167.39 and 551.59

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Solution

The fourth proportional to 2,111.61, 3,167.39 and 551.59 is: 827.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.61 : 3,167.39 = 551.59 : x
  2. Step 2: Convert to fraction form
    2,111.61/3,167.39 = 551.59/x
  3. Step 3: Cross multiply
    2,111.61x = 3,167.39 × 551.59
  4. Step 4: Simplify right side
    2,111.61x = 1,747,097.89
  5. Step 5: Solve for x
    x = 1,747,097.89/2,111.61
  6. Step 6: Final answer
    x = 827.38

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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.