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Finding the Fourth Proportional to 1,882.23, 2,599.50 and 1,676.08

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Solution

The fourth proportional to 1,882.23, 2,599.50 and 1,676.08 is: 2,314.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.23 : 2,599.50 = 1,676.08 : x
  2. Step 2: Convert to fraction form
    1,882.23/2,599.50 = 1,676.08/x
  3. Step 3: Cross multiply
    1,882.23x = 2,599.50 × 1,676.08
  4. Step 4: Simplify right side
    1,882.23x = 4,356,969.96
  5. Step 5: Solve for x
    x = 4,356,969.96/1,882.23
  6. Step 6: Final answer
    x = 2,314.79

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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.