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Finding the Fourth Proportional to 2,813.49, 3,883.55 and 1,765.89

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Solution

The fourth proportional to 2,813.49, 3,883.55 and 1,765.89 is: 2,437.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.49 : 3,883.55 = 1,765.89 : x
  2. Step 2: Convert to fraction form
    2,813.49/3,883.55 = 1,765.89/x
  3. Step 3: Cross multiply
    2,813.49x = 3,883.55 × 1,765.89
  4. Step 4: Simplify right side
    2,813.49x = 6,857,913.28
  5. Step 5: Solve for x
    x = 6,857,913.28/2,813.49
  6. Step 6: Final answer
    x = 2,437.51

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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.