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Finding the Fourth Proportional to 2,270.72, 3,406.56 and 1,116.32

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Solution

The fourth proportional to 2,270.72, 3,406.56 and 1,116.32 is: 1,674.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.72 : 3,406.56 = 1,116.32 : x
  2. Step 2: Convert to fraction form
    2,270.72/3,406.56 = 1,116.32/x
  3. Step 3: Cross multiply
    2,270.72x = 3,406.56 × 1,116.32
  4. Step 4: Simplify right side
    2,270.72x = 3,802,811.06
  5. Step 5: Solve for x
    x = 3,802,811.06/2,270.72
  6. Step 6: Final answer
    x = 1,674.72

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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.