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Finding the Fourth Proportional to 1,627.12, 2,443.12 and 1,408.42

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Solution

The fourth proportional to 1,627.12, 2,443.12 and 1,408.42 is: 2,114.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.12 : 2,443.12 = 1,408.42 : x
  2. Step 2: Convert to fraction form
    1,627.12/2,443.12 = 1,408.42/x
  3. Step 3: Cross multiply
    1,627.12x = 2,443.12 × 1,408.42
  4. Step 4: Simplify right side
    1,627.12x = 3,440,939.07
  5. Step 5: Solve for x
    x = 3,440,939.07/1,627.12
  6. Step 6: Final answer
    x = 2,114.74

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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.