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Finding the Fourth Proportional to 2,256, 3,384 and 1,040

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Solution

The fourth proportional to 2,256, 3,384 and 1,040 is: 1,560

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256 : 3,384 = 1,040 : x
  2. Step 2: Convert to fraction form
    2,256/3,384 = 1,040/x
  3. Step 3: Cross multiply
    2,256x = 3,384 × 1,040
  4. Step 4: Simplify right side
    2,256x = 3,519,360
  5. Step 5: Solve for x
    x = 3,519,360/2,256
  6. Step 6: Final answer
    x = 1,560

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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.