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Finding the Fourth Proportional to 2,179.72, 3,007.96 and 1,185

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Solution

The fourth proportional to 2,179.72, 3,007.96 and 1,185 is: 1,635.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.72 : 3,007.96 = 1,185 : x
  2. Step 2: Convert to fraction form
    2,179.72/3,007.96 = 1,185/x
  3. Step 3: Cross multiply
    2,179.72x = 3,007.96 × 1,185
  4. Step 4: Simplify right side
    2,179.72x = 3,564,432.60
  5. Step 5: Solve for x
    x = 3,564,432.60/2,179.72
  6. Step 6: Final answer
    x = 1,635.27

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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.