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Finding the Fourth Proportional to 2,111.37, 3,167.16 and 551.37

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Solution

The fourth proportional to 2,111.37, 3,167.16 and 551.37 is: 827.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.37 : 3,167.16 = 551.37 : x
  2. Step 2: Convert to fraction form
    2,111.37/3,167.16 = 551.37/x
  3. Step 3: Cross multiply
    2,111.37x = 3,167.16 × 551.37
  4. Step 4: Simplify right side
    2,111.37x = 1,746,261.17
  5. Step 5: Solve for x
    x = 1,746,261.17/2,111.37
  6. Step 6: Final answer
    x = 827.08

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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.