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Finding the Fourth Proportional to 2,167.56, 2,990.70 and 1,282.86

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Solution

The fourth proportional to 2,167.56, 2,990.70 and 1,282.86 is: 1,770.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.56 : 2,990.70 = 1,282.86 : x
  2. Step 2: Convert to fraction form
    2,167.56/2,990.70 = 1,282.86/x
  3. Step 3: Cross multiply
    2,167.56x = 2,990.70 × 1,282.86
  4. Step 4: Simplify right side
    2,167.56x = 3,836,649.40
  5. Step 5: Solve for x
    x = 3,836,649.40/2,167.56
  6. Step 6: Final answer
    x = 1,770.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.