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Finding the Fourth Proportional to 1,744.14, 2,406.02 and 1,184.43

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Solution

The fourth proportional to 1,744.14, 2,406.02 and 1,184.43 is: 1,633.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.14 : 2,406.02 = 1,184.43 : x
  2. Step 2: Convert to fraction form
    1,744.14/2,406.02 = 1,184.43/x
  3. Step 3: Cross multiply
    1,744.14x = 2,406.02 × 1,184.43
  4. Step 4: Simplify right side
    1,744.14x = 2,849,756.35
  5. Step 5: Solve for x
    x = 2,849,756.35/1,744.14
  6. Step 6: Final answer
    x = 1,633.90

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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.