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Finding the Fourth Proportional to 2,304.46, 3,448.92 and 1,689.22

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Solution

The fourth proportional to 2,304.46, 3,448.92 and 1,689.22 is: 2,528.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.46 : 3,448.92 = 1,689.22 : x
  2. Step 2: Convert to fraction form
    2,304.46/3,448.92 = 1,689.22/x
  3. Step 3: Cross multiply
    2,304.46x = 3,448.92 × 1,689.22
  4. Step 4: Simplify right side
    2,304.46x = 5,825,984.64
  5. Step 5: Solve for x
    x = 5,825,984.64/2,304.46
  6. Step 6: Final answer
    x = 2,528.13

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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.