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Finding the Fourth Proportional to 2,304.86, 3,180.76 and 1,420.62

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Solution

The fourth proportional to 2,304.86, 3,180.76 and 1,420.62 is: 1,960.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.86 : 3,180.76 = 1,420.62 : x
  2. Step 2: Convert to fraction form
    2,304.86/3,180.76 = 1,420.62/x
  3. Step 3: Cross multiply
    2,304.86x = 3,180.76 × 1,420.62
  4. Step 4: Simplify right side
    2,304.86x = 4,518,651.27
  5. Step 5: Solve for x
    x = 4,518,651.27/2,304.86
  6. Step 6: Final answer
    x = 1,960.49

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