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Finding the Fourth Proportional to 2,406.35, 3,320.97 and 1,344.35

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Solution

The fourth proportional to 2,406.35, 3,320.97 and 1,344.35 is: 1,855.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.35 : 3,320.97 = 1,344.35 : x
  2. Step 2: Convert to fraction form
    2,406.35/3,320.97 = 1,344.35/x
  3. Step 3: Cross multiply
    2,406.35x = 3,320.97 × 1,344.35
  4. Step 4: Simplify right side
    2,406.35x = 4,464,546.02
  5. Step 5: Solve for x
    x = 4,464,546.02/2,406.35
  6. Step 6: Final answer
    x = 1,855.32

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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.