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Finding the Fourth Proportional to 1,805.31, 2,711.75 and 1,604.16

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Solution

The fourth proportional to 1,805.31, 2,711.75 and 1,604.16 is: 2,409.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.31 : 2,711.75 = 1,604.16 : x
  2. Step 2: Convert to fraction form
    1,805.31/2,711.75 = 1,604.16/x
  3. Step 3: Cross multiply
    1,805.31x = 2,711.75 × 1,604.16
  4. Step 4: Simplify right side
    1,805.31x = 4,350,072.86
  5. Step 5: Solve for x
    x = 4,350,072.86/1,805.31
  6. Step 6: Final answer
    x = 2,409.60

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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.