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Finding the Fourth Proportional to 2,716.64, 4,075.26 and 867.31

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Solution

The fourth proportional to 2,716.64, 4,075.26 and 867.31 is: 1,301.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.64 : 4,075.26 = 867.31 : x
  2. Step 2: Convert to fraction form
    2,716.64/4,075.26 = 867.31/x
  3. Step 3: Cross multiply
    2,716.64x = 4,075.26 × 867.31
  4. Step 4: Simplify right side
    2,716.64x = 3,534,513.75
  5. Step 5: Solve for x
    x = 3,534,513.75/2,716.64
  6. Step 6: Final answer
    x = 1,301.06

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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.