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Finding the Fourth Proportional to 4,495.66, 6,743.22 and 1,683.94

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Solution

The fourth proportional to 4,495.66, 6,743.22 and 1,683.94 is: 2,525.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,495.66 : 6,743.22 = 1,683.94 : x
  2. Step 2: Convert to fraction form
    4,495.66/6,743.22 = 1,683.94/x
  3. Step 3: Cross multiply
    4,495.66x = 6,743.22 × 1,683.94
  4. Step 4: Simplify right side
    4,495.66x = 11,355,177.89
  5. Step 5: Solve for x
    x = 11,355,177.89/4,495.66
  6. Step 6: Final answer
    x = 2,525.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.