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Finding the Fourth Proportional to 3,446.85, 5,170.30 and 981.67

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Solution

The fourth proportional to 3,446.85, 5,170.30 and 981.67 is: 1,472.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.85 : 5,170.30 = 981.67 : x
  2. Step 2: Convert to fraction form
    3,446.85/5,170.30 = 981.67/x
  3. Step 3: Cross multiply
    3,446.85x = 5,170.30 × 981.67
  4. Step 4: Simplify right side
    3,446.85x = 5,075,502.55
  5. Step 5: Solve for x
    x = 5,075,502.55/3,446.85
  6. Step 6: Final answer
    x = 1,472.50

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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.