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Finding the Fourth Proportional to 3,466.65, 5,200.80 and 1,126.67

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Solution

The fourth proportional to 3,466.65, 5,200.80 and 1,126.67 is: 1,690.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.65 : 5,200.80 = 1,126.67 : x
  2. Step 2: Convert to fraction form
    3,466.65/5,200.80 = 1,126.67/x
  3. Step 3: Cross multiply
    3,466.65x = 5,200.80 × 1,126.67
  4. Step 4: Simplify right side
    3,466.65x = 5,859,559.33
  5. Step 5: Solve for x
    x = 5,859,559.33/3,466.65
  6. Step 6: Final answer
    x = 1,690.27

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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.