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Finding the Fourth Proportional to 2,411.26, 3,617.32 and 852.17

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Solution

The fourth proportional to 2,411.26, 3,617.32 and 852.17 is: 1,278.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.26 : 3,617.32 = 852.17 : x
  2. Step 2: Convert to fraction form
    2,411.26/3,617.32 = 852.17/x
  3. Step 3: Cross multiply
    2,411.26x = 3,617.32 × 852.17
  4. Step 4: Simplify right side
    2,411.26x = 3,082,573.31
  5. Step 5: Solve for x
    x = 3,082,573.31/2,411.26
  6. Step 6: Final answer
    x = 1,278.41

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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.