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Finding the Fourth Proportional to 2,896.63, 4,344.03 and 948.38

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Solution

The fourth proportional to 2,896.63, 4,344.03 and 948.38 is: 1,422.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.63 : 4,344.03 = 948.38 : x
  2. Step 2: Convert to fraction form
    2,896.63/4,344.03 = 948.38/x
  3. Step 3: Cross multiply
    2,896.63x = 4,344.03 × 948.38
  4. Step 4: Simplify right side
    2,896.63x = 4,119,769.45
  5. Step 5: Solve for x
    x = 4,119,769.45/2,896.63
  6. Step 6: Final answer
    x = 1,422.26

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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.