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Finding the Fourth Proportional to 2,245.78, 3,366.15 and 1,467.28

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Solution

The fourth proportional to 2,245.78, 3,366.15 and 1,467.28 is: 2,199.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.78 : 3,366.15 = 1,467.28 : x
  2. Step 2: Convert to fraction form
    2,245.78/3,366.15 = 1,467.28/x
  3. Step 3: Cross multiply
    2,245.78x = 3,366.15 × 1,467.28
  4. Step 4: Simplify right side
    2,245.78x = 4,939,084.57
  5. Step 5: Solve for x
    x = 4,939,084.57/2,245.78
  6. Step 6: Final answer
    x = 2,199.27

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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.