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Finding the Fourth Proportional to 1,272.96, 1,910.40 and 1,019.52

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Solution

The fourth proportional to 1,272.96, 1,910.40 and 1,019.52 is: 1,530.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.96 : 1,910.40 = 1,019.52 : x
  2. Step 2: Convert to fraction form
    1,272.96/1,910.40 = 1,019.52/x
  3. Step 3: Cross multiply
    1,272.96x = 1,910.40 × 1,019.52
  4. Step 4: Simplify right side
    1,272.96x = 1,947,691.01
  5. Step 5: Solve for x
    x = 1,947,691.01/1,272.96
  6. Step 6: Final answer
    x = 1,530.05

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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.