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Finding the Fourth Proportional to 1,274.15, 1,909.26 and 1,078.25

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Solution

The fourth proportional to 1,274.15, 1,909.26 and 1,078.25 is: 1,615.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.15 : 1,909.26 = 1,078.25 : x
  2. Step 2: Convert to fraction form
    1,274.15/1,909.26 = 1,078.25/x
  3. Step 3: Cross multiply
    1,274.15x = 1,909.26 × 1,078.25
  4. Step 4: Simplify right side
    1,274.15x = 2,058,650.05
  5. Step 5: Solve for x
    x = 2,058,650.05/1,274.15
  6. Step 6: Final answer
    x = 1,615.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.