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Finding the Fourth Proportional to 1,683.56, 2,323.14 and 937.52

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Solution

The fourth proportional to 1,683.56, 2,323.14 and 937.52 is: 1,293.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.56 : 2,323.14 = 937.52 : x
  2. Step 2: Convert to fraction form
    1,683.56/2,323.14 = 937.52/x
  3. Step 3: Cross multiply
    1,683.56x = 2,323.14 × 937.52
  4. Step 4: Simplify right side
    1,683.56x = 2,177,990.21
  5. Step 5: Solve for x
    x = 2,177,990.21/1,683.56
  6. Step 6: Final answer
    x = 1,293.68

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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.