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Finding the Fourth Proportional to 2,163.51, 2,986.07 and 1,416.15

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Solution

The fourth proportional to 2,163.51, 2,986.07 and 1,416.15 is: 1,954.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.51 : 2,986.07 = 1,416.15 : x
  2. Step 2: Convert to fraction form
    2,163.51/2,986.07 = 1,416.15/x
  3. Step 3: Cross multiply
    2,163.51x = 2,986.07 × 1,416.15
  4. Step 4: Simplify right side
    2,163.51x = 4,228,715.95
  5. Step 5: Solve for x
    x = 4,228,715.95/2,163.51
  6. Step 6: Final answer
    x = 1,954.56

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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.