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Finding the Fourth Proportional to 3,134.44, 4,698.42 and 1,488.52

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Solution

The fourth proportional to 3,134.44, 4,698.42 and 1,488.52 is: 2,231.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.44 : 4,698.42 = 1,488.52 : x
  2. Step 2: Convert to fraction form
    3,134.44/4,698.42 = 1,488.52/x
  3. Step 3: Cross multiply
    3,134.44x = 4,698.42 × 1,488.52
  4. Step 4: Simplify right side
    3,134.44x = 6,993,692.14
  5. Step 5: Solve for x
    x = 6,993,692.14/3,134.44
  6. Step 6: Final answer
    x = 2,231.24

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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.