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Finding the Fourth Proportional to 3,264, 4,896 and 1,440

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Solution

The fourth proportional to 3,264, 4,896 and 1,440 is: 2,160

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264 : 4,896 = 1,440 : x
  2. Step 2: Convert to fraction form
    3,264/4,896 = 1,440/x
  3. Step 3: Cross multiply
    3,264x = 4,896 × 1,440
  4. Step 4: Simplify right side
    3,264x = 7,050,240
  5. Step 5: Solve for x
    x = 7,050,240/3,264
  6. Step 6: Final answer
    x = 2,160

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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.