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Finding the Fourth Proportional to 2,126.64, 3,189.96 and 665.93

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Solution

The fourth proportional to 2,126.64, 3,189.96 and 665.93 is: 998.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.64 : 3,189.96 = 665.93 : x
  2. Step 2: Convert to fraction form
    2,126.64/3,189.96 = 665.93/x
  3. Step 3: Cross multiply
    2,126.64x = 3,189.96 × 665.93
  4. Step 4: Simplify right side
    2,126.64x = 2,124,274.11
  5. Step 5: Solve for x
    x = 2,124,274.11/2,126.64
  6. Step 6: Final answer
    x = 998.89

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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.