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Finding the Fourth Proportional to 2,293.50, 3,439.89 and 1,905.99

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Solution

The fourth proportional to 2,293.50, 3,439.89 and 1,905.99 is: 2,858.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.50 : 3,439.89 = 1,905.99 : x
  2. Step 2: Convert to fraction form
    2,293.50/3,439.89 = 1,905.99/x
  3. Step 3: Cross multiply
    2,293.50x = 3,439.89 × 1,905.99
  4. Step 4: Simplify right side
    2,293.50x = 6,556,412.59
  5. Step 5: Solve for x
    x = 6,556,412.59/2,293.50
  6. Step 6: Final answer
    x = 2,858.69

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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.