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Finding the Fourth Proportional to 2,432, 3,648 and 608

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Solution

The fourth proportional to 2,432, 3,648 and 608 is: 912

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432 : 3,648 = 608 : x
  2. Step 2: Convert to fraction form
    2,432/3,648 = 608/x
  3. Step 3: Cross multiply
    2,432x = 3,648 × 608
  4. Step 4: Simplify right side
    2,432x = 2,217,984
  5. Step 5: Solve for x
    x = 2,217,984/2,432
  6. Step 6: Final answer
    x = 912

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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.