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Finding the Fourth Proportional to 3,166.16, 4,749.77 and 974.84

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Solution

The fourth proportional to 3,166.16, 4,749.77 and 974.84 is: 1,462.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.16 : 4,749.77 = 974.84 : x
  2. Step 2: Convert to fraction form
    3,166.16/4,749.77 = 974.84/x
  3. Step 3: Cross multiply
    3,166.16x = 4,749.77 × 974.84
  4. Step 4: Simplify right side
    3,166.16x = 4,630,237.16
  5. Step 5: Solve for x
    x = 4,630,237.16/3,166.16
  6. Step 6: Final answer
    x = 1,462.42

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1.5x scale

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.