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Finding the Fourth Proportional to 2,295.50, 3,168.52 and 1,467.50

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Solution

The fourth proportional to 2,295.50, 3,168.52 and 1,467.50 is: 2,025.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.50 : 3,168.52 = 1,467.50 : x
  2. Step 2: Convert to fraction form
    2,295.50/3,168.52 = 1,467.50/x
  3. Step 3: Cross multiply
    2,295.50x = 3,168.52 × 1,467.50
  4. Step 4: Simplify right side
    2,295.50x = 4,649,803.10
  5. Step 5: Solve for x
    x = 4,649,803.10/2,295.50
  6. Step 6: Final answer
    x = 2,025.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.