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Finding the Fourth Proportional to 2,126.72, 3,190.72 and 666.08

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Solution

The fourth proportional to 2,126.72, 3,190.72 and 666.08 is: 999.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.72 : 3,190.72 = 666.08 : x
  2. Step 2: Convert to fraction form
    2,126.72/3,190.72 = 666.08/x
  3. Step 3: Cross multiply
    2,126.72x = 3,190.72 × 666.08
  4. Step 4: Simplify right side
    2,126.72x = 2,125,274.78
  5. Step 5: Solve for x
    x = 2,125,274.78/2,126.72
  6. Step 6: Final answer
    x = 999.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.