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Finding the Fourth Proportional to 3,040.56, 4,559.02 and 1,189.47

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Solution

The fourth proportional to 3,040.56, 4,559.02 and 1,189.47 is: 1,783.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,040.56 : 4,559.02 = 1,189.47 : x
  2. Step 2: Convert to fraction form
    3,040.56/4,559.02 = 1,189.47/x
  3. Step 3: Cross multiply
    3,040.56x = 4,559.02 × 1,189.47
  4. Step 4: Simplify right side
    3,040.56x = 5,422,817.52
  5. Step 5: Solve for x
    x = 5,422,817.52/3,040.56
  6. Step 6: Final answer
    x = 1,783.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.