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Finding the Fourth Proportional to 2,679.64, 4,018.02 and 948.04

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Solution

The fourth proportional to 2,679.64, 4,018.02 and 948.04 is: 1,421.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.64 : 4,018.02 = 948.04 : x
  2. Step 2: Convert to fraction form
    2,679.64/4,018.02 = 948.04/x
  3. Step 3: Cross multiply
    2,679.64x = 4,018.02 × 948.04
  4. Step 4: Simplify right side
    2,679.64x = 3,809,243.68
  5. Step 5: Solve for x
    x = 3,809,243.68/2,679.64
  6. Step 6: Final answer
    x = 1,421.55

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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.