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Finding the Fourth Proportional to 1,427.20, 1,969.51 and 797.74

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Solution

The fourth proportional to 1,427.20, 1,969.51 and 797.74 is: 1,100.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.20 : 1,969.51 = 797.74 : x
  2. Step 2: Convert to fraction form
    1,427.20/1,969.51 = 797.74/x
  3. Step 3: Cross multiply
    1,427.20x = 1,969.51 × 797.74
  4. Step 4: Simplify right side
    1,427.20x = 1,571,156.91
  5. Step 5: Solve for x
    x = 1,571,156.91/1,427.20
  6. Step 6: Final answer
    x = 1,100.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.