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Finding the Fourth Proportional to 1,743.53, 2,395.37 and 1,410.92

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Solution

The fourth proportional to 1,743.53, 2,395.37 and 1,410.92 is: 1,938.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.53 : 2,395.37 = 1,410.92 : x
  2. Step 2: Convert to fraction form
    1,743.53/2,395.37 = 1,410.92/x
  3. Step 3: Cross multiply
    1,743.53x = 2,395.37 × 1,410.92
  4. Step 4: Simplify right side
    1,743.53x = 3,379,675.97
  5. Step 5: Solve for x
    x = 3,379,675.97/1,743.53
  6. Step 6: Final answer
    x = 1,938.42

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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.