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Finding the Fourth Proportional to 2,111.48, 3,166.93 and 551.60

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Solution

The fourth proportional to 2,111.48, 3,166.93 and 551.60 is: 827.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.48 : 3,166.93 = 551.60 : x
  2. Step 2: Convert to fraction form
    2,111.48/3,166.93 = 551.60/x
  3. Step 3: Cross multiply
    2,111.48x = 3,166.93 × 551.60
  4. Step 4: Simplify right side
    2,111.48x = 1,746,885.13
  5. Step 5: Solve for x
    x = 1,746,885.13/2,111.48
  6. Step 6: Final answer
    x = 827.33

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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.