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Finding the Fourth Proportional to 2,409.63, 3,614.45 and 1,588.44

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Solution

The fourth proportional to 2,409.63, 3,614.45 and 1,588.44 is: 2,382.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.63 : 3,614.45 = 1,588.44 : x
  2. Step 2: Convert to fraction form
    2,409.63/3,614.45 = 1,588.44/x
  3. Step 3: Cross multiply
    2,409.63x = 3,614.45 × 1,588.44
  4. Step 4: Simplify right side
    2,409.63x = 5,741,329.02
  5. Step 5: Solve for x
    x = 5,741,329.02/2,409.63
  6. Step 6: Final answer
    x = 2,382.66

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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.