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Finding the Fourth Proportional to 3,009.78, 4,513.84 and 1,450.80

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Solution

The fourth proportional to 3,009.78, 4,513.84 and 1,450.80 is: 2,175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.78 : 4,513.84 = 1,450.80 : x
  2. Step 2: Convert to fraction form
    3,009.78/4,513.84 = 1,450.80/x
  3. Step 3: Cross multiply
    3,009.78x = 4,513.84 × 1,450.80
  4. Step 4: Simplify right side
    3,009.78x = 6,548,675.45
  5. Step 5: Solve for x
    x = 6,548,675.45/3,009.78
  6. Step 6: Final answer
    x = 2,175.80

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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.