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Finding the Fourth Proportional to 2,339.56, 3,228.90 and 1,408.12

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Solution

The fourth proportional to 2,339.56, 3,228.90 and 1,408.12 is: 1,943.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.56 : 3,228.90 = 1,408.12 : x
  2. Step 2: Convert to fraction form
    2,339.56/3,228.90 = 1,408.12/x
  3. Step 3: Cross multiply
    2,339.56x = 3,228.90 × 1,408.12
  4. Step 4: Simplify right side
    2,339.56x = 4,546,678.67
  5. Step 5: Solve for x
    x = 4,546,678.67/2,339.56
  6. Step 6: Final answer
    x = 1,943.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.