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Finding the Fourth Proportional to 1,638.09, 2,459.61 and 666.09

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Solution

The fourth proportional to 1,638.09, 2,459.61 and 666.09 is: 1,000.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.09 : 2,459.61 = 666.09 : x
  2. Step 2: Convert to fraction form
    1,638.09/2,459.61 = 666.09/x
  3. Step 3: Cross multiply
    1,638.09x = 2,459.61 × 666.09
  4. Step 4: Simplify right side
    1,638.09x = 1,638,321.62
  5. Step 5: Solve for x
    x = 1,638,321.62/1,638.09
  6. Step 6: Final answer
    x = 1,000.14

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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.