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Finding the Fourth Proportional to 2,163.02, 2,985.10 and 1,638.14

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Solution

The fourth proportional to 2,163.02, 2,985.10 and 1,638.14 is: 2,260.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.02 : 2,985.10 = 1,638.14 : x
  2. Step 2: Convert to fraction form
    2,163.02/2,985.10 = 1,638.14/x
  3. Step 3: Cross multiply
    2,163.02x = 2,985.10 × 1,638.14
  4. Step 4: Simplify right side
    2,163.02x = 4,890,011.71
  5. Step 5: Solve for x
    x = 4,890,011.71/2,163.02
  6. Step 6: Final answer
    x = 2,260.73

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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.