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Finding the Fourth Proportional to 3,104.07, 4,656.09 and 2,948.34

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Solution

The fourth proportional to 3,104.07, 4,656.09 and 2,948.34 is: 4,422.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.07 : 4,656.09 = 2,948.34 : x
  2. Step 2: Convert to fraction form
    3,104.07/4,656.09 = 2,948.34/x
  3. Step 3: Cross multiply
    3,104.07x = 4,656.09 × 2,948.34
  4. Step 4: Simplify right side
    3,104.07x = 13,727,736.39
  5. Step 5: Solve for x
    x = 13,727,736.39/3,104.07
  6. Step 6: Final answer
    x = 4,422.50

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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.