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Finding the Fourth Proportional to 2,677, 3,696.54 and 1,683.94

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Solution

The fourth proportional to 2,677, 3,696.54 and 1,683.94 is: 2,325.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677 : 3,696.54 = 1,683.94 : x
  2. Step 2: Convert to fraction form
    2,677/3,696.54 = 1,683.94/x
  3. Step 3: Cross multiply
    2,677x = 3,696.54 × 1,683.94
  4. Step 4: Simplify right side
    2,677x = 6,224,751.57
  5. Step 5: Solve for x
    x = 6,224,751.57/2,677
  6. Step 6: Final answer
    x = 2,325.27

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Why These Related Problems?

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