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Finding the Fourth Proportional to 2,815.36, 4,214 and 1,497.28

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Solution

The fourth proportional to 2,815.36, 4,214 and 1,497.28 is: 2,241.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.36 : 4,214 = 1,497.28 : x
  2. Step 2: Convert to fraction form
    2,815.36/4,214 = 1,497.28/x
  3. Step 3: Cross multiply
    2,815.36x = 4,214 × 1,497.28
  4. Step 4: Simplify right side
    2,815.36x = 6,309,537.92
  5. Step 5: Solve for x
    x = 6,309,537.92/2,815.36
  6. Step 6: Final answer
    x = 2,241.11

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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.