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Finding the Fourth Proportional to 1,354, 2,031 and 442

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Solution

The fourth proportional to 1,354, 2,031 and 442 is: 663

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354 : 2,031 = 442 : x
  2. Step 2: Convert to fraction form
    1,354/2,031 = 442/x
  3. Step 3: Cross multiply
    1,354x = 2,031 × 442
  4. Step 4: Simplify right side
    1,354x = 897,702
  5. Step 5: Solve for x
    x = 897,702/1,354
  6. Step 6: Final answer
    x = 663

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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.