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Finding the Fourth Proportional to 2,420.14, 3,336.62 and 1,747.38

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Solution

The fourth proportional to 2,420.14, 3,336.62 and 1,747.38 is: 2,409.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.14 : 3,336.62 = 1,747.38 : x
  2. Step 2: Convert to fraction form
    2,420.14/3,336.62 = 1,747.38/x
  3. Step 3: Cross multiply
    2,420.14x = 3,336.62 × 1,747.38
  4. Step 4: Simplify right side
    2,420.14x = 5,830,343.06
  5. Step 5: Solve for x
    x = 5,830,343.06/2,420.14
  6. Step 6: Final answer
    x = 2,409.09

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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.