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Finding the Fourth Proportional to 2,751.89, 4,128.46 and 903.16

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Solution

The fourth proportional to 2,751.89, 4,128.46 and 903.16 is: 1,354.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.89 : 4,128.46 = 903.16 : x
  2. Step 2: Convert to fraction form
    2,751.89/4,128.46 = 903.16/x
  3. Step 3: Cross multiply
    2,751.89x = 4,128.46 × 903.16
  4. Step 4: Simplify right side
    2,751.89x = 3,728,659.93
  5. Step 5: Solve for x
    x = 3,728,659.93/2,751.89
  6. Step 6: Final answer
    x = 1,354.95

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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.