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Finding the Fourth Proportional to 2,068.62, 3,101.85 and 769.38

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Solution

The fourth proportional to 2,068.62, 3,101.85 and 769.38 is: 1,153.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.62 : 3,101.85 = 769.38 : x
  2. Step 2: Convert to fraction form
    2,068.62/3,101.85 = 769.38/x
  3. Step 3: Cross multiply
    2,068.62x = 3,101.85 × 769.38
  4. Step 4: Simplify right side
    2,068.62x = 2,386,501.35
  5. Step 5: Solve for x
    x = 2,386,501.35/2,068.62
  6. Step 6: Final answer
    x = 1,153.67

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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.