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Finding the Fourth Proportional to 2,648.65, 3,968.87 and 1,004.30

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Solution

The fourth proportional to 2,648.65, 3,968.87 and 1,004.30 is: 1,504.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.65 : 3,968.87 = 1,004.30 : x
  2. Step 2: Convert to fraction form
    2,648.65/3,968.87 = 1,004.30/x
  3. Step 3: Cross multiply
    2,648.65x = 3,968.87 × 1,004.30
  4. Step 4: Simplify right side
    2,648.65x = 3,985,936.14
  5. Step 5: Solve for x
    x = 3,985,936.14/2,648.65
  6. Step 6: Final answer
    x = 1,504.89

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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.