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Finding the Fourth Proportional to 2,179.47, 3,007.67 and 1,184.76

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Solution

The fourth proportional to 2,179.47, 3,007.67 and 1,184.76 is: 1,634.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.47 : 3,007.67 = 1,184.76 : x
  2. Step 2: Convert to fraction form
    2,179.47/3,007.67 = 1,184.76/x
  3. Step 3: Cross multiply
    2,179.47x = 3,007.67 × 1,184.76
  4. Step 4: Simplify right side
    2,179.47x = 3,563,367.11
  5. Step 5: Solve for x
    x = 3,563,367.11/2,179.47
  6. Step 6: Final answer
    x = 1,634.97

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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.