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Finding the Fourth Proportional to 1,229.04, 1,840.32 and 919.62

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Solution

The fourth proportional to 1,229.04, 1,840.32 and 919.62 is: 1,377.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.04 : 1,840.32 = 919.62 : x
  2. Step 2: Convert to fraction form
    1,229.04/1,840.32 = 919.62/x
  3. Step 3: Cross multiply
    1,229.04x = 1,840.32 × 919.62
  4. Step 4: Simplify right side
    1,229.04x = 1,692,395.08
  5. Step 5: Solve for x
    x = 1,692,395.08/1,229.04
  6. Step 6: Final answer
    x = 1,377.01

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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.