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Finding the Fourth Proportional to 2,548.02, 3,821.41 and 987.51

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Solution

The fourth proportional to 2,548.02, 3,821.41 and 987.51 is: 1,481.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.02 : 3,821.41 = 987.51 : x
  2. Step 2: Convert to fraction form
    2,548.02/3,821.41 = 987.51/x
  3. Step 3: Cross multiply
    2,548.02x = 3,821.41 × 987.51
  4. Step 4: Simplify right side
    2,548.02x = 3,773,680.59
  5. Step 5: Solve for x
    x = 3,773,680.59/2,548.02
  6. Step 6: Final answer
    x = 1,481.02

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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.