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Finding the Fourth Proportional to 2,627.65, 3,627.86 and 1,683.82

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Solution

The fourth proportional to 2,627.65, 3,627.86 and 1,683.82 is: 2,324.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.65 : 3,627.86 = 1,683.82 : x
  2. Step 2: Convert to fraction form
    2,627.65/3,627.86 = 1,683.82/x
  3. Step 3: Cross multiply
    2,627.65x = 3,627.86 × 1,683.82
  4. Step 4: Simplify right side
    2,627.65x = 6,108,655.24
  5. Step 5: Solve for x
    x = 6,108,655.24/2,627.65
  6. Step 6: Final answer
    x = 2,324.76

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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.