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Finding the Fourth Proportional to 1,403.94, 2,104.29 and 1,274.34

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Solution

The fourth proportional to 1,403.94, 2,104.29 and 1,274.34 is: 1,910.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.94 : 2,104.29 = 1,274.34 : x
  2. Step 2: Convert to fraction form
    1,403.94/2,104.29 = 1,274.34/x
  3. Step 3: Cross multiply
    1,403.94x = 2,104.29 × 1,274.34
  4. Step 4: Simplify right side
    1,403.94x = 2,681,580.92
  5. Step 5: Solve for x
    x = 2,681,580.92/1,403.94
  6. Step 6: Final answer
    x = 1,910.04

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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.