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Finding the Fourth Proportional to 2,179.51, 3,007.76 and 1,184.81

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Solution

The fourth proportional to 2,179.51, 3,007.76 and 1,184.81 is: 1,635.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.51 : 3,007.76 = 1,184.81 : x
  2. Step 2: Convert to fraction form
    2,179.51/3,007.76 = 1,184.81/x
  3. Step 3: Cross multiply
    2,179.51x = 3,007.76 × 1,184.81
  4. Step 4: Simplify right side
    2,179.51x = 3,563,624.13
  5. Step 5: Solve for x
    x = 3,563,624.13/2,179.51
  6. Step 6: Final answer
    x = 1,635.06

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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.