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Finding the Fourth Proportional to 2,397.05, 3,595.81 and 665.67

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Solution

The fourth proportional to 2,397.05, 3,595.81 and 665.67 is: 998.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.05 : 3,595.81 = 665.67 : x
  2. Step 2: Convert to fraction form
    2,397.05/3,595.81 = 665.67/x
  3. Step 3: Cross multiply
    2,397.05x = 3,595.81 × 665.67
  4. Step 4: Simplify right side
    2,397.05x = 2,393,622.84
  5. Step 5: Solve for x
    x = 2,393,622.84/2,397.05
  6. Step 6: Final answer
    x = 998.57

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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.