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Finding the Fourth Proportional to 2,111.47, 3,167.20 and 551.47

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Solution

The fourth proportional to 2,111.47, 3,167.20 and 551.47 is: 827.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.47 : 3,167.20 = 551.47 : x
  2. Step 2: Convert to fraction form
    2,111.47/3,167.20 = 551.47/x
  3. Step 3: Cross multiply
    2,111.47x = 3,167.20 × 551.47
  4. Step 4: Simplify right side
    2,111.47x = 1,746,608.56
  5. Step 5: Solve for x
    x = 1,746,608.56/2,111.47
  6. Step 6: Final answer
    x = 827.20

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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.