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Finding the Fourth Proportional to 3,119.67, 4,680.30 and 1,039.67

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Solution

The fourth proportional to 3,119.67, 4,680.30 and 1,039.67 is: 1,559.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.67 : 4,680.30 = 1,039.67 : x
  2. Step 2: Convert to fraction form
    3,119.67/4,680.30 = 1,039.67/x
  3. Step 3: Cross multiply
    3,119.67x = 4,680.30 × 1,039.67
  4. Step 4: Simplify right side
    3,119.67x = 4,865,967.50
  5. Step 5: Solve for x
    x = 4,865,967.50/3,119.67
  6. Step 6: Final answer
    x = 1,559.77

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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.