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Finding the Fourth Proportional to 2,760.84, 4,141.49 and 1,006.31

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Solution

The fourth proportional to 2,760.84, 4,141.49 and 1,006.31 is: 1,509.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.84 : 4,141.49 = 1,006.31 : x
  2. Step 2: Convert to fraction form
    2,760.84/4,141.49 = 1,006.31/x
  3. Step 3: Cross multiply
    2,760.84x = 4,141.49 × 1,006.31
  4. Step 4: Simplify right side
    2,760.84x = 4,167,597.06
  5. Step 5: Solve for x
    x = 4,167,597.06/2,760.84
  6. Step 6: Final answer
    x = 1,509.54

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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.