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Finding the Fourth Proportional to 1,741.92, 2,403.03 and 1,078.53

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Solution

The fourth proportional to 1,741.92, 2,403.03 and 1,078.53 is: 1,487.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.92 : 2,403.03 = 1,078.53 : x
  2. Step 2: Convert to fraction form
    1,741.92/2,403.03 = 1,078.53/x
  3. Step 3: Cross multiply
    1,741.92x = 2,403.03 × 1,078.53
  4. Step 4: Simplify right side
    1,741.92x = 2,591,739.95
  5. Step 5: Solve for x
    x = 2,591,739.95/1,741.92
  6. Step 6: Final answer
    x = 1,487.86

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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.