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Finding the Fourth Proportional to 2,126.12, 3,189.16 and 666.22

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Solution

The fourth proportional to 2,126.12, 3,189.16 and 666.22 is: 999.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.12 : 3,189.16 = 666.22 : x
  2. Step 2: Convert to fraction form
    2,126.12/3,189.16 = 666.22/x
  3. Step 3: Cross multiply
    2,126.12x = 3,189.16 × 666.22
  4. Step 4: Simplify right side
    2,126.12x = 2,124,682.18
  5. Step 5: Solve for x
    x = 2,124,682.18/2,126.12
  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.