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Finding the Fourth Proportional to 2,563.31, 3,535.03 and 1,678.79

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Solution

The fourth proportional to 2,563.31, 3,535.03 and 1,678.79 is: 2,315.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.31 : 3,535.03 = 1,678.79 : x
  2. Step 2: Convert to fraction form
    2,563.31/3,535.03 = 1,678.79/x
  3. Step 3: Cross multiply
    2,563.31x = 3,535.03 × 1,678.79
  4. Step 4: Simplify right side
    2,563.31x = 5,934,573.01
  5. Step 5: Solve for x
    x = 5,934,573.01/2,563.31
  6. Step 6: Final answer
    x = 2,315.20

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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.