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Finding the Fourth Proportional to 2,299, 3,442.20 and 1,606.36

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Solution

The fourth proportional to 2,299, 3,442.20 and 1,606.36 is: 2,405.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299 : 3,442.20 = 1,606.36 : x
  2. Step 2: Convert to fraction form
    2,299/3,442.20 = 1,606.36/x
  3. Step 3: Cross multiply
    2,299x = 3,442.20 × 1,606.36
  4. Step 4: Simplify right side
    2,299x = 5,529,412.39
  5. Step 5: Solve for x
    x = 5,529,412.39/2,299
  6. Step 6: Final answer
    x = 2,405.14

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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.