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Finding the Fourth Proportional to 1,606.74, 2,216.64 and 1,163.67

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Solution

The fourth proportional to 1,606.74, 2,216.64 and 1,163.67 is: 1,605.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.74 : 2,216.64 = 1,163.67 : x
  2. Step 2: Convert to fraction form
    1,606.74/2,216.64 = 1,163.67/x
  3. Step 3: Cross multiply
    1,606.74x = 2,216.64 × 1,163.67
  4. Step 4: Simplify right side
    1,606.74x = 2,579,437.47
  5. Step 5: Solve for x
    x = 2,579,437.47/1,606.74
  6. Step 6: Final answer
    x = 1,605.39

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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.