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Finding the Fourth Proportional to 1,716.22, 2,552.25 and 1,661.54

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Solution

The fourth proportional to 1,716.22, 2,552.25 and 1,661.54 is: 2,470.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.22 : 2,552.25 = 1,661.54 : x
  2. Step 2: Convert to fraction form
    1,716.22/2,552.25 = 1,661.54/x
  3. Step 3: Cross multiply
    1,716.22x = 2,552.25 × 1,661.54
  4. Step 4: Simplify right side
    1,716.22x = 4,240,657.16
  5. Step 5: Solve for x
    x = 4,240,657.16/1,716.22
  6. Step 6: Final answer
    x = 2,470.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.