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Finding the Fourth Proportional to 1,728.29, 2,373 and 1,683.19

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Solution

The fourth proportional to 1,728.29, 2,373 and 1,683.19 is: 2,311.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.29 : 2,373 = 1,683.19 : x
  2. Step 2: Convert to fraction form
    1,728.29/2,373 = 1,683.19/x
  3. Step 3: Cross multiply
    1,728.29x = 2,373 × 1,683.19
  4. Step 4: Simplify right side
    1,728.29x = 3,994,203.94
  5. Step 5: Solve for x
    x = 3,994,203.94/1,728.29
  6. Step 6: Final answer
    x = 2,311.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.