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Finding the Fourth Proportional to 2,984.06, 4,475.76 and 762.90

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Solution

The fourth proportional to 2,984.06, 4,475.76 and 762.90 is: 1,144.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.06 : 4,475.76 = 762.90 : x
  2. Step 2: Convert to fraction form
    2,984.06/4,475.76 = 762.90/x
  3. Step 3: Cross multiply
    2,984.06x = 4,475.76 × 762.90
  4. Step 4: Simplify right side
    2,984.06x = 3,414,557.30
  5. Step 5: Solve for x
    x = 3,414,557.30/2,984.06
  6. Step 6: Final answer
    x = 1,144.27

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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.