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Finding the Fourth Proportional to 2,163.42, 2,985.48 and 1,323.99

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Solution

The fourth proportional to 2,163.42, 2,985.48 and 1,323.99 is: 1,827.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.42 : 2,985.48 = 1,323.99 : x
  2. Step 2: Convert to fraction form
    2,163.42/2,985.48 = 1,323.99/x
  3. Step 3: Cross multiply
    2,163.42x = 2,985.48 × 1,323.99
  4. Step 4: Simplify right side
    2,163.42x = 3,952,745.67
  5. Step 5: Solve for x
    x = 3,952,745.67/2,163.42
  6. Step 6: Final answer
    x = 1,827.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.