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Finding the Fourth Proportional to 2,272.89, 3,407.04 and 811.25

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Solution

The fourth proportional to 2,272.89, 3,407.04 and 811.25 is: 1,216.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.89 : 3,407.04 = 811.25 : x
  2. Step 2: Convert to fraction form
    2,272.89/3,407.04 = 811.25/x
  3. Step 3: Cross multiply
    2,272.89x = 3,407.04 × 811.25
  4. Step 4: Simplify right side
    2,272.89x = 2,763,944.16
  5. Step 5: Solve for x
    x = 2,763,944.16/2,272.89
  6. Step 6: Final answer
    x = 1,216.05

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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.