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Finding the Fourth Proportional to 2,163.90, 2,985.98 and 1,602.56

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Solution

The fourth proportional to 2,163.90, 2,985.98 and 1,602.56 is: 2,211.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.90 : 2,985.98 = 1,602.56 : x
  2. Step 2: Convert to fraction form
    2,163.90/2,985.98 = 1,602.56/x
  3. Step 3: Cross multiply
    2,163.90x = 2,985.98 × 1,602.56
  4. Step 4: Simplify right side
    2,163.90x = 4,785,212.11
  5. Step 5: Solve for x
    x = 4,785,212.11/2,163.90
  6. Step 6: Final answer
    x = 2,211.38

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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.