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Finding the Fourth Proportional to 1,454, 2,181 and 542

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Solution

The fourth proportional to 1,454, 2,181 and 542 is: 813

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454 : 2,181 = 542 : x
  2. Step 2: Convert to fraction form
    1,454/2,181 = 542/x
  3. Step 3: Cross multiply
    1,454x = 2,181 × 542
  4. Step 4: Simplify right side
    1,454x = 1,182,102
  5. Step 5: Solve for x
    x = 1,182,102/1,454
  6. Step 6: Final answer
    x = 813

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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.