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Finding the Fourth Proportional to 2,325.70, 3,488.50 and 682.21

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Solution

The fourth proportional to 2,325.70, 3,488.50 and 682.21 is: 1,023.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.70 : 3,488.50 = 682.21 : x
  2. Step 2: Convert to fraction form
    2,325.70/3,488.50 = 682.21/x
  3. Step 3: Cross multiply
    2,325.70x = 3,488.50 × 682.21
  4. Step 4: Simplify right side
    2,325.70x = 2,379,868.73
  5. Step 5: Solve for x
    x = 2,379,868.73/2,325.70
  6. Step 6: Final answer
    x = 1,023.29

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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.