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Finding the Fourth Proportional to 2,907.94, 4,014.61 and 2,225.30

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Solution

The fourth proportional to 2,907.94, 4,014.61 and 2,225.30 is: 3,072.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.94 : 4,014.61 = 2,225.30 : x
  2. Step 2: Convert to fraction form
    2,907.94/4,014.61 = 2,225.30/x
  3. Step 3: Cross multiply
    2,907.94x = 4,014.61 × 2,225.30
  4. Step 4: Simplify right side
    2,907.94x = 8,933,680.43
  5. Step 5: Solve for x
    x = 8,933,680.43/2,907.94
  6. Step 6: Final answer
    x = 3,072.17

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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.