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Finding the Fourth Proportional to 2,361.16, 3,256.14 and 1,563.22

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Solution

The fourth proportional to 2,361.16, 3,256.14 and 1,563.22 is: 2,155.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.16 : 3,256.14 = 1,563.22 : x
  2. Step 2: Convert to fraction form
    2,361.16/3,256.14 = 1,563.22/x
  3. Step 3: Cross multiply
    2,361.16x = 3,256.14 × 1,563.22
  4. Step 4: Simplify right side
    2,361.16x = 5,090,063.17
  5. Step 5: Solve for x
    x = 5,090,063.17/2,361.16
  6. Step 6: Final answer
    x = 2,155.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.