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Finding the Fourth Proportional to 2,648.88, 3,971.16 and 1,004.49

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Solution

The fourth proportional to 2,648.88, 3,971.16 and 1,004.49 is: 1,505.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.88 : 3,971.16 = 1,004.49 : x
  2. Step 2: Convert to fraction form
    2,648.88/3,971.16 = 1,004.49/x
  3. Step 3: Cross multiply
    2,648.88x = 3,971.16 × 1,004.49
  4. Step 4: Simplify right side
    2,648.88x = 3,988,990.51
  5. Step 5: Solve for x
    x = 3,988,990.51/2,648.88
  6. Step 6: Final answer
    x = 1,505.92

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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.