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Finding the Fourth Proportional to 1,683.86, 2,516.92 and 1,462.73

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Solution

The fourth proportional to 1,683.86, 2,516.92 and 1,462.73 is: 2,186.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.86 : 2,516.92 = 1,462.73 : x
  2. Step 2: Convert to fraction form
    1,683.86/2,516.92 = 1,462.73/x
  3. Step 3: Cross multiply
    1,683.86x = 2,516.92 × 1,462.73
  4. Step 4: Simplify right side
    1,683.86x = 3,681,574.39
  5. Step 5: Solve for x
    x = 3,681,574.39/1,683.86
  6. Step 6: Final answer
    x = 2,186.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.