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Finding the Fourth Proportional to 2,163.75, 2,985.99 and 1,232.25

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Solution

The fourth proportional to 2,163.75, 2,985.99 and 1,232.25 is: 1,700.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.75 : 2,985.99 = 1,232.25 : x
  2. Step 2: Convert to fraction form
    2,163.75/2,985.99 = 1,232.25/x
  3. Step 3: Cross multiply
    2,163.75x = 2,985.99 × 1,232.25
  4. Step 4: Simplify right side
    2,163.75x = 3,679,486.18
  5. Step 5: Solve for x
    x = 3,679,486.18/2,163.75
  6. Step 6: Final answer
    x = 1,700.51

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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.