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Finding the Fourth Proportional to 1,229.07, 1,840.90 and 1,133.04

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Solution

The fourth proportional to 1,229.07, 1,840.90 and 1,133.04 is: 1,697.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.07 : 1,840.90 = 1,133.04 : x
  2. Step 2: Convert to fraction form
    1,229.07/1,840.90 = 1,133.04/x
  3. Step 3: Cross multiply
    1,229.07x = 1,840.90 × 1,133.04
  4. Step 4: Simplify right side
    1,229.07x = 2,085,813.34
  5. Step 5: Solve for x
    x = 2,085,813.34/1,229.07
  6. Step 6: Final answer
    x = 1,697.07

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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.