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Finding the Fourth Proportional to 1,638.14, 2,457.07 and 542.14

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Solution

The fourth proportional to 1,638.14, 2,457.07 and 542.14 is: 813.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.14 : 2,457.07 = 542.14 : x
  2. Step 2: Convert to fraction form
    1,638.14/2,457.07 = 542.14/x
  3. Step 3: Cross multiply
    1,638.14x = 2,457.07 × 542.14
  4. Step 4: Simplify right side
    1,638.14x = 1,332,068.43
  5. Step 5: Solve for x
    x = 1,332,068.43/1,638.14
  6. Step 6: Final answer
    x = 813.16

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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.