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Finding the Fourth Proportional to 3,166.49, 4,748.83 and 975.38

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Solution

The fourth proportional to 3,166.49, 4,748.83 and 975.38 is: 1,462.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.49 : 4,748.83 = 975.38 : x
  2. Step 2: Convert to fraction form
    3,166.49/4,748.83 = 975.38/x
  3. Step 3: Cross multiply
    3,166.49x = 4,748.83 × 975.38
  4. Step 4: Simplify right side
    3,166.49x = 4,631,887.62
  5. Step 5: Solve for x
    x = 4,631,887.62/3,166.49
  6. Step 6: Final answer
    x = 1,462.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.