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Finding the Fourth Proportional to 2,964.75, 4,447.74 and 2,040.74

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Solution

The fourth proportional to 2,964.75, 4,447.74 and 2,040.74 is: 3,061.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.75 : 4,447.74 = 2,040.74 : x
  2. Step 2: Convert to fraction form
    2,964.75/4,447.74 = 2,040.74/x
  3. Step 3: Cross multiply
    2,964.75x = 4,447.74 × 2,040.74
  4. Step 4: Simplify right side
    2,964.75x = 9,076,690.82
  5. Step 5: Solve for x
    x = 9,076,690.82/2,964.75
  6. Step 6: Final answer
    x = 3,061.53

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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.