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Finding the Fourth Proportional to 1,380.22, 1,903.02 and 1,202.52

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Solution

The fourth proportional to 1,380.22, 1,903.02 and 1,202.52 is: 1,658.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.22 : 1,903.02 = 1,202.52 : x
  2. Step 2: Convert to fraction form
    1,380.22/1,903.02 = 1,202.52/x
  3. Step 3: Cross multiply
    1,380.22x = 1,903.02 × 1,202.52
  4. Step 4: Simplify right side
    1,380.22x = 2,288,419.61
  5. Step 5: Solve for x
    x = 2,288,419.61/1,380.22
  6. Step 6: Final answer
    x = 1,658.01

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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.