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Finding the Fourth Proportional to 1,192.02, 1,644.10 and 1,139.67

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Solution

The fourth proportional to 1,192.02, 1,644.10 and 1,139.67 is: 1,571.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.02 : 1,644.10 = 1,139.67 : x
  2. Step 2: Convert to fraction form
    1,192.02/1,644.10 = 1,139.67/x
  3. Step 3: Cross multiply
    1,192.02x = 1,644.10 × 1,139.67
  4. Step 4: Simplify right side
    1,192.02x = 1,873,728.60
  5. Step 5: Solve for x
    x = 1,873,728.60/1,192.02
  6. Step 6: Final answer
    x = 1,571.90

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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.