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Finding the Fourth Proportional to 1,638.39, 2,457.98 and 542.77

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Solution

The fourth proportional to 1,638.39, 2,457.98 and 542.77 is: 814.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.39 : 2,457.98 = 542.77 : x
  2. Step 2: Convert to fraction form
    1,638.39/2,457.98 = 542.77/x
  3. Step 3: Cross multiply
    1,638.39x = 2,457.98 × 542.77
  4. Step 4: Simplify right side
    1,638.39x = 1,334,117.80
  5. Step 5: Solve for x
    x = 1,334,117.80/1,638.39
  6. Step 6: Final answer
    x = 814.29

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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.