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Finding the Fourth Proportional to 1,680.35, 2,504.12 and 1,663.94

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Solution

The fourth proportional to 1,680.35, 2,504.12 and 1,663.94 is: 2,479.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.35 : 2,504.12 = 1,663.94 : x
  2. Step 2: Convert to fraction form
    1,680.35/2,504.12 = 1,663.94/x
  3. Step 3: Cross multiply
    1,680.35x = 2,504.12 × 1,663.94
  4. Step 4: Simplify right side
    1,680.35x = 4,166,703.37
  5. Step 5: Solve for x
    x = 4,166,703.37/1,680.35
  6. Step 6: Final answer
    x = 2,479.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.