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Finding the Fourth Proportional to 2,907.50, 4,014.18 and 2,243.12

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Solution

The fourth proportional to 2,907.50, 4,014.18 and 2,243.12 is: 3,096.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.50 : 4,014.18 = 2,243.12 : x
  2. Step 2: Convert to fraction form
    2,907.50/4,014.18 = 2,243.12/x
  3. Step 3: Cross multiply
    2,907.50x = 4,014.18 × 2,243.12
  4. Step 4: Simplify right side
    2,907.50x = 9,004,287.44
  5. Step 5: Solve for x
    x = 9,004,287.44/2,907.50
  6. Step 6: Final answer
    x = 3,096.92

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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.