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Finding the Fourth Proportional to 2,270.52, 3,406.86 and 1,116

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Solution

The fourth proportional to 2,270.52, 3,406.86 and 1,116 is: 1,674.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.52 : 3,406.86 = 1,116 : x
  2. Step 2: Convert to fraction form
    2,270.52/3,406.86 = 1,116/x
  3. Step 3: Cross multiply
    2,270.52x = 3,406.86 × 1,116
  4. Step 4: Simplify right side
    2,270.52x = 3,802,055.76
  5. Step 5: Solve for x
    x = 3,802,055.76/2,270.52
  6. Step 6: Final answer
    x = 1,674.53

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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.