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Finding the Fourth Proportional to 4,601.06, 6,902.03 and 1,678.67

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Solution

The fourth proportional to 4,601.06, 6,902.03 and 1,678.67 is: 2,518.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601.06 : 6,902.03 = 1,678.67 : x
  2. Step 2: Convert to fraction form
    4,601.06/6,902.03 = 1,678.67/x
  3. Step 3: Cross multiply
    4,601.06x = 6,902.03 × 1,678.67
  4. Step 4: Simplify right side
    4,601.06x = 11,586,230.70
  5. Step 5: Solve for x
    x = 11,586,230.70/4,601.06
  6. Step 6: Final answer
    x = 2,518.17

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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.