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Finding the Fourth Proportional to 1,741.08, 2,403.42 and 1,369.08

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Solution

The fourth proportional to 1,741.08, 2,403.42 and 1,369.08 is: 1,889.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.08 : 2,403.42 = 1,369.08 : x
  2. Step 2: Convert to fraction form
    1,741.08/2,403.42 = 1,369.08/x
  3. Step 3: Cross multiply
    1,741.08x = 2,403.42 × 1,369.08
  4. Step 4: Simplify right side
    1,741.08x = 3,290,474.25
  5. Step 5: Solve for x
    x = 3,290,474.25/1,741.08
  6. Step 6: Final answer
    x = 1,889.90

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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.