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Finding the Fourth Proportional to 2,901.50, 4,004.34 and 1,659.50

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Solution

The fourth proportional to 2,901.50, 4,004.34 and 1,659.50 is: 2,290.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.50 : 4,004.34 = 1,659.50 : x
  2. Step 2: Convert to fraction form
    2,901.50/4,004.34 = 1,659.50/x
  3. Step 3: Cross multiply
    2,901.50x = 4,004.34 × 1,659.50
  4. Step 4: Simplify right side
    2,901.50x = 6,645,202.23
  5. Step 5: Solve for x
    x = 6,645,202.23/2,901.50
  6. Step 6: Final answer
    x = 2,290.26

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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.