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Finding the Fourth Proportional to 2,409.44, 3,614.17 and 870.44

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Solution

The fourth proportional to 2,409.44, 3,614.17 and 870.44 is: 1,305.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.44 : 3,614.17 = 870.44 : x
  2. Step 2: Convert to fraction form
    2,409.44/3,614.17 = 870.44/x
  3. Step 3: Cross multiply
    2,409.44x = 3,614.17 × 870.44
  4. Step 4: Simplify right side
    2,409.44x = 3,145,918.13
  5. Step 5: Solve for x
    x = 3,145,918.13/2,409.44
  6. Step 6: Final answer
    x = 1,305.66

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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.