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Finding the Fourth Proportional to 3,077.84, 4,614.36 and 1,129.04

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Solution

The fourth proportional to 3,077.84, 4,614.36 and 1,129.04 is: 1,692.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.84 : 4,614.36 = 1,129.04 : x
  2. Step 2: Convert to fraction form
    3,077.84/4,614.36 = 1,129.04/x
  3. Step 3: Cross multiply
    3,077.84x = 4,614.36 × 1,129.04
  4. Step 4: Simplify right side
    3,077.84x = 5,209,797.01
  5. Step 5: Solve for x
    x = 5,209,797.01/3,077.84
  6. Step 6: Final answer
    x = 1,692.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.