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Finding the Fourth Proportional to 1,640.13, 2,458.04 and 665.70

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Solution

The fourth proportional to 1,640.13, 2,458.04 and 665.70 is: 997.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.13 : 2,458.04 = 665.70 : x
  2. Step 2: Convert to fraction form
    1,640.13/2,458.04 = 665.70/x
  3. Step 3: Cross multiply
    1,640.13x = 2,458.04 × 665.70
  4. Step 4: Simplify right side
    1,640.13x = 1,636,313.90
  5. Step 5: Solve for x
    x = 1,636,313.90/1,640.13
  6. Step 6: Final answer
    x = 997.67

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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.