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Finding the Fourth Proportional to 1,272.86, 1,919.10 and 1,264.96

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Solution

The fourth proportional to 1,272.86, 1,919.10 and 1,264.96 is: 1,907.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.86 : 1,919.10 = 1,264.96 : x
  2. Step 2: Convert to fraction form
    1,272.86/1,919.10 = 1,264.96/x
  3. Step 3: Cross multiply
    1,272.86x = 1,919.10 × 1,264.96
  4. Step 4: Simplify right side
    1,272.86x = 2,427,584.74
  5. Step 5: Solve for x
    x = 2,427,584.74/1,272.86
  6. Step 6: Final answer
    x = 1,907.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.