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Finding the Fourth Proportional to 1,878.57, 2,817.84 and 1,233.39

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Solution

The fourth proportional to 1,878.57, 2,817.84 and 1,233.39 is: 1,850.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.57 : 2,817.84 = 1,233.39 : x
  2. Step 2: Convert to fraction form
    1,878.57/2,817.84 = 1,233.39/x
  3. Step 3: Cross multiply
    1,878.57x = 2,817.84 × 1,233.39
  4. Step 4: Simplify right side
    1,878.57x = 3,475,495.68
  5. Step 5: Solve for x
    x = 3,475,495.68/1,878.57
  6. Step 6: Final answer
    x = 1,850.08

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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.