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Finding the Fourth Proportional to 1,907.28, 2,855.52 and 1,212.22

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Solution

The fourth proportional to 1,907.28, 2,855.52 and 1,212.22 is: 1,814.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.28 : 2,855.52 = 1,212.22 : x
  2. Step 2: Convert to fraction form
    1,907.28/2,855.52 = 1,212.22/x
  3. Step 3: Cross multiply
    1,907.28x = 2,855.52 × 1,212.22
  4. Step 4: Simplify right side
    1,907.28x = 3,461,518.45
  5. Step 5: Solve for x
    x = 3,461,518.45/1,907.28
  6. Step 6: Final answer
    x = 1,814.90

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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.