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Finding the Fourth Proportional to 1,638.43, 2,457.95 and 542.88

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Solution

The fourth proportional to 1,638.43, 2,457.95 and 542.88 is: 814.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.43 : 2,457.95 = 542.88 : x
  2. Step 2: Convert to fraction form
    1,638.43/2,457.95 = 542.88/x
  3. Step 3: Cross multiply
    1,638.43x = 2,457.95 × 542.88
  4. Step 4: Simplify right side
    1,638.43x = 1,334,369.18
  5. Step 5: Solve for x
    x = 1,334,369.18/1,638.43
  6. Step 6: Final answer
    x = 814.42

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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.