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Finding the Fourth Proportional to 3,166.48, 4,749.45 and 975

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Solution

The fourth proportional to 3,166.48, 4,749.45 and 975 is: 1,462.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.48 : 4,749.45 = 975 : x
  2. Step 2: Convert to fraction form
    3,166.48/4,749.45 = 975/x
  3. Step 3: Cross multiply
    3,166.48x = 4,749.45 × 975
  4. Step 4: Simplify right side
    3,166.48x = 4,630,713.75
  5. Step 5: Solve for x
    x = 4,630,713.75/3,166.48
  6. Step 6: Final answer
    x = 1,462.42

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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.