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Finding the Fourth Proportional to 2,299.34, 3,448.83 and 738.93

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Solution

The fourth proportional to 2,299.34, 3,448.83 and 738.93 is: 1,108.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.34 : 3,448.83 = 738.93 : x
  2. Step 2: Convert to fraction form
    2,299.34/3,448.83 = 738.93/x
  3. Step 3: Cross multiply
    2,299.34x = 3,448.83 × 738.93
  4. Step 4: Simplify right side
    2,299.34x = 2,548,443.95
  5. Step 5: Solve for x
    x = 2,548,443.95/2,299.34
  6. Step 6: Final answer
    x = 1,108.34

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1.5x scale

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.