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Finding the Fourth Proportional to 1,825.80, 2,732.94 and 1,304.12

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Solution

The fourth proportional to 1,825.80, 2,732.94 and 1,304.12 is: 1,952.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.80 : 2,732.94 = 1,304.12 : x
  2. Step 2: Convert to fraction form
    1,825.80/2,732.94 = 1,304.12/x
  3. Step 3: Cross multiply
    1,825.80x = 2,732.94 × 1,304.12
  4. Step 4: Simplify right side
    1,825.80x = 3,564,081.71
  5. Step 5: Solve for x
    x = 3,564,081.71/1,825.80
  6. Step 6: Final answer
    x = 1,952.07

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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.