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Finding the Fourth Proportional to 1,419.37, 2,126.28 and 801.20

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Solution

The fourth proportional to 1,419.37, 2,126.28 and 801.20 is: 1,200.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.37 : 2,126.28 = 801.20 : x
  2. Step 2: Convert to fraction form
    1,419.37/2,126.28 = 801.20/x
  3. Step 3: Cross multiply
    1,419.37x = 2,126.28 × 801.20
  4. Step 4: Simplify right side
    1,419.37x = 1,703,575.54
  5. Step 5: Solve for x
    x = 1,703,575.54/1,419.37
  6. Step 6: Final answer
    x = 1,200.24

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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.