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Finding the Fourth Proportional to 2,273.17, 3,410.66 and 886.93

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Solution

The fourth proportional to 2,273.17, 3,410.66 and 886.93 is: 1,330.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.17 : 3,410.66 = 886.93 : x
  2. Step 2: Convert to fraction form
    2,273.17/3,410.66 = 886.93/x
  3. Step 3: Cross multiply
    2,273.17x = 3,410.66 × 886.93
  4. Step 4: Simplify right side
    2,273.17x = 3,025,016.67
  5. Step 5: Solve for x
    x = 3,025,016.67/2,273.17
  6. Step 6: Final answer
    x = 1,330.75

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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.