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Finding the Fourth Proportional to 2,179.65, 3,007.92 and 1,184.94

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Solution

The fourth proportional to 2,179.65, 3,007.92 and 1,184.94 is: 1,635.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.65 : 3,007.92 = 1,184.94 : x
  2. Step 2: Convert to fraction form
    2,179.65/3,007.92 = 1,184.94/x
  3. Step 3: Cross multiply
    2,179.65x = 3,007.92 × 1,184.94
  4. Step 4: Simplify right side
    2,179.65x = 3,564,204.72
  5. Step 5: Solve for x
    x = 3,564,204.72/2,179.65
  6. Step 6: Final answer
    x = 1,635.22

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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.