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Finding the Fourth Proportional to 2,603.07, 3,901.23 and 1,984.50

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Solution

The fourth proportional to 2,603.07, 3,901.23 and 1,984.50 is: 2,974.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.07 : 3,901.23 = 1,984.50 : x
  2. Step 2: Convert to fraction form
    2,603.07/3,901.23 = 1,984.50/x
  3. Step 3: Cross multiply
    2,603.07x = 3,901.23 × 1,984.50
  4. Step 4: Simplify right side
    2,603.07x = 7,741,990.94
  5. Step 5: Solve for x
    x = 7,741,990.94/2,603.07
  6. Step 6: Final answer
    x = 2,974.18

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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.