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Finding the Fourth Proportional to 2,303.68, 3,179.52 and 2,163.01

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Solution

The fourth proportional to 2,303.68, 3,179.52 and 2,163.01 is: 2,985.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.68 : 3,179.52 = 2,163.01 : x
  2. Step 2: Convert to fraction form
    2,303.68/3,179.52 = 2,163.01/x
  3. Step 3: Cross multiply
    2,303.68x = 3,179.52 × 2,163.01
  4. Step 4: Simplify right side
    2,303.68x = 6,877,333.56
  5. Step 5: Solve for x
    x = 6,877,333.56/2,303.68
  6. Step 6: Final answer
    x = 2,985.37

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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.