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Finding the Fourth Proportional to 2,178.86, 3,007.26 and 1,294.49

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Solution

The fourth proportional to 2,178.86, 3,007.26 and 1,294.49 is: 1,786.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.86 : 3,007.26 = 1,294.49 : x
  2. Step 2: Convert to fraction form
    2,178.86/3,007.26 = 1,294.49/x
  3. Step 3: Cross multiply
    2,178.86x = 3,007.26 × 1,294.49
  4. Step 4: Simplify right side
    2,178.86x = 3,892,880.37
  5. Step 5: Solve for x
    x = 3,892,880.37/2,178.86
  6. Step 6: Final answer
    x = 1,786.66

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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.