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Finding the Fourth Proportional to 1,984.23, 2,977.70 and 685.69

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Solution

The fourth proportional to 1,984.23, 2,977.70 and 685.69 is: 1,029.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.23 : 2,977.70 = 685.69 : x
  2. Step 2: Convert to fraction form
    1,984.23/2,977.70 = 685.69/x
  3. Step 3: Cross multiply
    1,984.23x = 2,977.70 × 685.69
  4. Step 4: Simplify right side
    1,984.23x = 2,041,768.24
  5. Step 5: Solve for x
    x = 2,041,768.24/1,984.23
  6. Step 6: Final answer
    x = 1,029.00

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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.