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Finding the Fourth Proportional to 2,304.69, 3,180.36 and 1,420.57

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Solution

The fourth proportional to 2,304.69, 3,180.36 and 1,420.57 is: 1,960.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.69 : 3,180.36 = 1,420.57 : x
  2. Step 2: Convert to fraction form
    2,304.69/3,180.36 = 1,420.57/x
  3. Step 3: Cross multiply
    2,304.69x = 3,180.36 × 1,420.57
  4. Step 4: Simplify right side
    2,304.69x = 4,517,924.01
  5. Step 5: Solve for x
    x = 4,517,924.01/2,304.69
  6. Step 6: Final answer
    x = 1,960.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.