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Finding the Fourth Proportional to 1,450.72, 2,179.02 and 1,281.22

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Solution

The fourth proportional to 1,450.72, 2,179.02 and 1,281.22 is: 1,924.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.72 : 2,179.02 = 1,281.22 : x
  2. Step 2: Convert to fraction form
    1,450.72/2,179.02 = 1,281.22/x
  3. Step 3: Cross multiply
    1,450.72x = 2,179.02 × 1,281.22
  4. Step 4: Simplify right side
    1,450.72x = 2,791,809.45
  5. Step 5: Solve for x
    x = 2,791,809.45/1,450.72
  6. Step 6: Final answer
    x = 1,924.44

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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.