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Finding the Fourth Proportional to 1,683.53, 2,323.20 and 937.46

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Solution

The fourth proportional to 1,683.53, 2,323.20 and 937.46 is: 1,293.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.53 : 2,323.20 = 937.46 : x
  2. Step 2: Convert to fraction form
    1,683.53/2,323.20 = 937.46/x
  3. Step 3: Cross multiply
    1,683.53x = 2,323.20 × 937.46
  4. Step 4: Simplify right side
    1,683.53x = 2,177,920.75
  5. Step 5: Solve for x
    x = 2,177,920.75/1,683.53
  6. Step 6: Final answer
    x = 1,293.67

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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.