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Finding the Fourth Proportional to 2,069.67, 3,104.53 and 509.67

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Solution

The fourth proportional to 2,069.67, 3,104.53 and 509.67 is: 764.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.67 : 3,104.53 = 509.67 : x
  2. Step 2: Convert to fraction form
    2,069.67/3,104.53 = 509.67/x
  3. Step 3: Cross multiply
    2,069.67x = 3,104.53 × 509.67
  4. Step 4: Simplify right side
    2,069.67x = 1,582,285.81
  5. Step 5: Solve for x
    x = 1,582,285.81/2,069.67
  6. Step 6: Final answer
    x = 764.51

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Double scale
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Similar ratio
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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.