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Finding the Fourth Proportional to 2,970.03, 4,450.95 and 2,529

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Solution

The fourth proportional to 2,970.03, 4,450.95 and 2,529 is: 3,790.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.03 : 4,450.95 = 2,529 : x
  2. Step 2: Convert to fraction form
    2,970.03/4,450.95 = 2,529/x
  3. Step 3: Cross multiply
    2,970.03x = 4,450.95 × 2,529
  4. Step 4: Simplify right side
    2,970.03x = 11,256,452.55
  5. Step 5: Solve for x
    x = 11,256,452.55/2,970.03
  6. Step 6: Final answer
    x = 3,790.01

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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.