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Finding the Fourth Proportional to 2,784, 4,176 and 960

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Solution

The fourth proportional to 2,784, 4,176 and 960 is: 1,440

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784 : 4,176 = 960 : x
  2. Step 2: Convert to fraction form
    2,784/4,176 = 960/x
  3. Step 3: Cross multiply
    2,784x = 4,176 × 960
  4. Step 4: Simplify right side
    2,784x = 4,008,960
  5. Step 5: Solve for x
    x = 4,008,960/2,784
  6. Step 6: Final answer
    x = 1,440

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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.