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Finding the Fourth Proportional to 1,883.45, 2,823.39 and 1,188

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Solution

The fourth proportional to 1,883.45, 2,823.39 and 1,188 is: 1,780.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.45 : 2,823.39 = 1,188 : x
  2. Step 2: Convert to fraction form
    1,883.45/2,823.39 = 1,188/x
  3. Step 3: Cross multiply
    1,883.45x = 2,823.39 × 1,188
  4. Step 4: Simplify right side
    1,883.45x = 3,354,187.32
  5. Step 5: Solve for x
    x = 3,354,187.32/1,883.45
  6. Step 6: Final answer
    x = 1,780.87

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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.