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Finding the Fourth Proportional to 2,270, 3,405.82 and 1,116.56

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Solution

The fourth proportional to 2,270, 3,405.82 and 1,116.56 is: 1,675.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270 : 3,405.82 = 1,116.56 : x
  2. Step 2: Convert to fraction form
    2,270/3,405.82 = 1,116.56/x
  3. Step 3: Cross multiply
    2,270x = 3,405.82 × 1,116.56
  4. Step 4: Simplify right side
    2,270x = 3,802,802.38
  5. Step 5: Solve for x
    x = 3,802,802.38/2,270
  6. Step 6: Final answer
    x = 1,675.24

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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.