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Finding the Fourth Proportional to 2,964.80, 4,443.15 and 1,974.80

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Solution

The fourth proportional to 2,964.80, 4,443.15 and 1,974.80 is: 2,959.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.80 : 4,443.15 = 1,974.80 : x
  2. Step 2: Convert to fraction form
    2,964.80/4,443.15 = 1,974.80/x
  3. Step 3: Cross multiply
    2,964.80x = 4,443.15 × 1,974.80
  4. Step 4: Simplify right side
    2,964.80x = 8,774,332.62
  5. Step 5: Solve for x
    x = 8,774,332.62/2,964.80
  6. Step 6: Final answer
    x = 2,959.50

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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.