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Finding the Fourth Proportional to 3,003.50, 4,504.10 and 1,443.06

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Solution

The fourth proportional to 3,003.50, 4,504.10 and 1,443.06 is: 2,164.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.50 : 4,504.10 = 1,443.06 : x
  2. Step 2: Convert to fraction form
    3,003.50/4,504.10 = 1,443.06/x
  3. Step 3: Cross multiply
    3,003.50x = 4,504.10 × 1,443.06
  4. Step 4: Simplify right side
    3,003.50x = 6,499,686.55
  5. Step 5: Solve for x
    x = 6,499,686.55/3,003.50
  6. Step 6: Final answer
    x = 2,164.04

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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.