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Finding the Fourth Proportional to 2,452.32, 3,675.36 and 1,152

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Solution

The fourth proportional to 2,452.32, 3,675.36 and 1,152 is: 1,726.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.32 : 3,675.36 = 1,152 : x
  2. Step 2: Convert to fraction form
    2,452.32/3,675.36 = 1,152/x
  3. Step 3: Cross multiply
    2,452.32x = 3,675.36 × 1,152
  4. Step 4: Simplify right side
    2,452.32x = 4,234,014.72
  5. Step 5: Solve for x
    x = 4,234,014.72/2,452.32
  6. Step 6: Final answer
    x = 1,726.53

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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.