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Finding the Fourth Proportional to 2,186.54, 3,014.24 and 1,661.66

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Solution

The fourth proportional to 2,186.54, 3,014.24 and 1,661.66 is: 2,290.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.54 : 3,014.24 = 1,661.66 : x
  2. Step 2: Convert to fraction form
    2,186.54/3,014.24 = 1,661.66/x
  3. Step 3: Cross multiply
    2,186.54x = 3,014.24 × 1,661.66
  4. Step 4: Simplify right side
    2,186.54x = 5,008,642.04
  5. Step 5: Solve for x
    x = 5,008,642.04/2,186.54
  6. Step 6: Final answer
    x = 2,290.67

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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.