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Finding the Fourth Proportional to 1,716.12, 2,571.62 and 741.69

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Solution

The fourth proportional to 1,716.12, 2,571.62 and 741.69 is: 1,111.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.12 : 2,571.62 = 741.69 : x
  2. Step 2: Convert to fraction form
    1,716.12/2,571.62 = 741.69/x
  3. Step 3: Cross multiply
    1,716.12x = 2,571.62 × 741.69
  4. Step 4: Simplify right side
    1,716.12x = 1,907,341.13
  5. Step 5: Solve for x
    x = 1,907,341.13/1,716.12
  6. Step 6: Final answer
    x = 1,111.43

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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.