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Finding the Fourth Proportional to 3,071.97, 4,609.95 and 1,686.27

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Solution

The fourth proportional to 3,071.97, 4,609.95 and 1,686.27 is: 2,530.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.97 : 4,609.95 = 1,686.27 : x
  2. Step 2: Convert to fraction form
    3,071.97/4,609.95 = 1,686.27/x
  3. Step 3: Cross multiply
    3,071.97x = 4,609.95 × 1,686.27
  4. Step 4: Simplify right side
    3,071.97x = 7,773,620.39
  5. Step 5: Solve for x
    x = 7,773,620.39/3,071.97
  6. Step 6: Final answer
    x = 2,530.50

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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.