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Finding the Fourth Proportional to 2,178.74, 3,006.70 and 1,184.04

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Solution

The fourth proportional to 2,178.74, 3,006.70 and 1,184.04 is: 1,633.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.74 : 3,006.70 = 1,184.04 : x
  2. Step 2: Convert to fraction form
    2,178.74/3,006.70 = 1,184.04/x
  3. Step 3: Cross multiply
    2,178.74x = 3,006.70 × 1,184.04
  4. Step 4: Simplify right side
    2,178.74x = 3,560,050.11
  5. Step 5: Solve for x
    x = 3,560,050.11/2,178.74
  6. Step 6: Final answer
    x = 1,633.99

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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.