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Finding the Fourth Proportional to 2,877.62, 3,971.14 and 1,683.44

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Solution

The fourth proportional to 2,877.62, 3,971.14 and 1,683.44 is: 2,323.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.62 : 3,971.14 = 1,683.44 : x
  2. Step 2: Convert to fraction form
    2,877.62/3,971.14 = 1,683.44/x
  3. Step 3: Cross multiply
    2,877.62x = 3,971.14 × 1,683.44
  4. Step 4: Simplify right side
    2,877.62x = 6,685,175.92
  5. Step 5: Solve for x
    x = 6,685,175.92/2,877.62
  6. Step 6: Final answer
    x = 2,323.16

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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.