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Finding the Fourth Proportional to 3,097.64, 4,640.41 and 2,054.54

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Solution

The fourth proportional to 3,097.64, 4,640.41 and 2,054.54 is: 3,077.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.64 : 4,640.41 = 2,054.54 : x
  2. Step 2: Convert to fraction form
    3,097.64/4,640.41 = 2,054.54/x
  3. Step 3: Cross multiply
    3,097.64x = 4,640.41 × 2,054.54
  4. Step 4: Simplify right side
    3,097.64x = 9,533,897.69
  5. Step 5: Solve for x
    x = 9,533,897.69/3,097.64
  6. Step 6: Final answer
    x = 3,077.79

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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.