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Finding the Fourth Proportional to 2,405, 3,318.92 and 1,301

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Solution

The fourth proportional to 2,405, 3,318.92 and 1,301 is: 1,795.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405 : 3,318.92 = 1,301 : x
  2. Step 2: Convert to fraction form
    2,405/3,318.92 = 1,301/x
  3. Step 3: Cross multiply
    2,405x = 3,318.92 × 1,301
  4. Step 4: Simplify right side
    2,405x = 4,317,914.92
  5. Step 5: Solve for x
    x = 4,317,914.92/2,405
  6. Step 6: Final answer
    x = 1,795.39

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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.