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Finding the Fourth Proportional to 2,561.31, 3,532.28 and 1,676.79

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Solution

The fourth proportional to 2,561.31, 3,532.28 and 1,676.79 is: 2,312.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.31 : 3,532.28 = 1,676.79 : x
  2. Step 2: Convert to fraction form
    2,561.31/3,532.28 = 1,676.79/x
  3. Step 3: Cross multiply
    2,561.31x = 3,532.28 × 1,676.79
  4. Step 4: Simplify right side
    2,561.31x = 5,922,883.40
  5. Step 5: Solve for x
    x = 5,922,883.40/2,561.31
  6. Step 6: Final answer
    x = 2,312.44

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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.