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Finding the Fourth Proportional to 1,759.44, 2,427.72 and 1,294.80

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Solution

The fourth proportional to 1,759.44, 2,427.72 and 1,294.80 is: 1,786.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.44 : 2,427.72 = 1,294.80 : x
  2. Step 2: Convert to fraction form
    1,759.44/2,427.72 = 1,294.80/x
  3. Step 3: Cross multiply
    1,759.44x = 2,427.72 × 1,294.80
  4. Step 4: Simplify right side
    1,759.44x = 3,143,411.86
  5. Step 5: Solve for x
    x = 3,143,411.86/1,759.44
  6. Step 6: Final answer
    x = 1,786.60

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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.