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Finding the Fourth Proportional to 2,896.04, 4,344.26 and 1,434.80

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Solution

The fourth proportional to 2,896.04, 4,344.26 and 1,434.80 is: 2,152.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.04 : 4,344.26 = 1,434.80 : x
  2. Step 2: Convert to fraction form
    2,896.04/4,344.26 = 1,434.80/x
  3. Step 3: Cross multiply
    2,896.04x = 4,344.26 × 1,434.80
  4. Step 4: Simplify right side
    2,896.04x = 6,233,147.93
  5. Step 5: Solve for x
    x = 6,233,147.93/2,896.04
  6. Step 6: Final answer
    x = 2,152.30

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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.