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Finding the Fourth Proportional to 1,883.34, 2,820.90 and 1,150.70

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Solution

The fourth proportional to 1,883.34, 2,820.90 and 1,150.70 is: 1,723.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.34 : 2,820.90 = 1,150.70 : x
  2. Step 2: Convert to fraction form
    1,883.34/2,820.90 = 1,150.70/x
  3. Step 3: Cross multiply
    1,883.34x = 2,820.90 × 1,150.70
  4. Step 4: Simplify right side
    1,883.34x = 3,245,995.53
  5. Step 5: Solve for x
    x = 3,245,995.53/1,883.34
  6. Step 6: Final answer
    x = 1,723.53

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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.