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Finding the Fourth Proportional to 3,165.72, 4,749.30 and 974.67

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Solution

The fourth proportional to 3,165.72, 4,749.30 and 974.67 is: 1,462.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.72 : 4,749.30 = 974.67 : x
  2. Step 2: Convert to fraction form
    3,165.72/4,749.30 = 974.67/x
  3. Step 3: Cross multiply
    3,165.72x = 4,749.30 × 974.67
  4. Step 4: Simplify right side
    3,165.72x = 4,629,000.23
  5. Step 5: Solve for x
    x = 4,629,000.23/3,165.72
  6. Step 6: Final answer
    x = 1,462.23

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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.