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Finding the Fourth Proportional to 2,126.74, 3,190.12 and 566.90

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Solution

The fourth proportional to 2,126.74, 3,190.12 and 566.90 is: 850.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.74 : 3,190.12 = 566.90 : x
  2. Step 2: Convert to fraction form
    2,126.74/3,190.12 = 566.90/x
  3. Step 3: Cross multiply
    2,126.74x = 3,190.12 × 566.90
  4. Step 4: Simplify right side
    2,126.74x = 1,808,479.03
  5. Step 5: Solve for x
    x = 1,808,479.03/2,126.74
  6. Step 6: Final answer
    x = 850.35

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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.