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Finding the Fourth Proportional to 3,411, 4,706.82 and 1,918.44

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Solution

The fourth proportional to 3,411, 4,706.82 and 1,918.44 is: 2,647.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411 : 4,706.82 = 1,918.44 : x
  2. Step 2: Convert to fraction form
    3,411/4,706.82 = 1,918.44/x
  3. Step 3: Cross multiply
    3,411x = 4,706.82 × 1,918.44
  4. Step 4: Simplify right side
    3,411x = 9,029,751.76
  5. Step 5: Solve for x
    x = 9,029,751.76/3,411
  6. Step 6: Final answer
    x = 2,647.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.