Home / 1,974.84-2,964.20-1,050.16

Finding the Fourth Proportional to 1,974.84, 2,964.20 and 1,050.16

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Solution

The fourth proportional to 1,974.84, 2,964.20 and 1,050.16 is: 1,576.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.84 : 2,964.20 = 1,050.16 : x
  2. Step 2: Convert to fraction form
    1,974.84/2,964.20 = 1,050.16/x
  3. Step 3: Cross multiply
    1,974.84x = 2,964.20 × 1,050.16
  4. Step 4: Simplify right side
    1,974.84x = 3,112,884.27
  5. Step 5: Solve for x
    x = 3,112,884.27/1,974.84
  6. Step 6: Final answer
    x = 1,576.27

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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.