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Finding the Fourth Proportional to 2,235.03, 3,352.62 and 675.05

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Solution

The fourth proportional to 2,235.03, 3,352.62 and 675.05 is: 1,012.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.03 : 3,352.62 = 675.05 : x
  2. Step 2: Convert to fraction form
    2,235.03/3,352.62 = 675.05/x
  3. Step 3: Cross multiply
    2,235.03x = 3,352.62 × 675.05
  4. Step 4: Simplify right side
    2,235.03x = 2,263,169.37
  5. Step 5: Solve for x
    x = 2,263,169.37/2,235.03
  6. Step 6: Final answer
    x = 1,012.59

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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.