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Finding the Fourth Proportional to 2,966.70, 4,450.04 and 1,302.45

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Solution

The fourth proportional to 2,966.70, 4,450.04 and 1,302.45 is: 1,953.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.70 : 4,450.04 = 1,302.45 : x
  2. Step 2: Convert to fraction form
    2,966.70/4,450.04 = 1,302.45/x
  3. Step 3: Cross multiply
    2,966.70x = 4,450.04 × 1,302.45
  4. Step 4: Simplify right side
    2,966.70x = 5,795,954.60
  5. Step 5: Solve for x
    x = 5,795,954.60/2,966.70
  6. Step 6: Final answer
    x = 1,953.67

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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.