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Finding the Fourth Proportional to 2,071.90, 3,100.56 and 1,634.50

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Solution

The fourth proportional to 2,071.90, 3,100.56 and 1,634.50 is: 2,446.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.90 : 3,100.56 = 1,634.50 : x
  2. Step 2: Convert to fraction form
    2,071.90/3,100.56 = 1,634.50/x
  3. Step 3: Cross multiply
    2,071.90x = 3,100.56 × 1,634.50
  4. Step 4: Simplify right side
    2,071.90x = 5,067,865.32
  5. Step 5: Solve for x
    x = 5,067,865.32/2,071.90
  6. Step 6: Final answer
    x = 2,446.00

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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.