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Finding the Fourth Proportional to 2,409.40, 3,616.26 and 1,255.96

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Solution

The fourth proportional to 2,409.40, 3,616.26 and 1,255.96 is: 1,885.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.40 : 3,616.26 = 1,255.96 : x
  2. Step 2: Convert to fraction form
    2,409.40/3,616.26 = 1,255.96/x
  3. Step 3: Cross multiply
    2,409.40x = 3,616.26 × 1,255.96
  4. Step 4: Simplify right side
    2,409.40x = 4,541,877.91
  5. Step 5: Solve for x
    x = 4,541,877.91/2,409.40
  6. Step 6: Final answer
    x = 1,885.07

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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.