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Finding the Fourth Proportional to 1,440, 2,160 and 414

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Solution

The fourth proportional to 1,440, 2,160 and 414 is: 621

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440 : 2,160 = 414 : x
  2. Step 2: Convert to fraction form
    1,440/2,160 = 414/x
  3. Step 3: Cross multiply
    1,440x = 2,160 × 414
  4. Step 4: Simplify right side
    1,440x = 894,240
  5. Step 5: Solve for x
    x = 894,240/1,440
  6. Step 6: Final answer
    x = 621

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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.