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Finding the Fourth Proportional to 1,398.14, 1,921.34 and 1,333.90

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Solution

The fourth proportional to 1,398.14, 1,921.34 and 1,333.90 is: 1,833.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.14 : 1,921.34 = 1,333.90 : x
  2. Step 2: Convert to fraction form
    1,398.14/1,921.34 = 1,333.90/x
  3. Step 3: Cross multiply
    1,398.14x = 1,921.34 × 1,333.90
  4. Step 4: Simplify right side
    1,398.14x = 2,562,868.76
  5. Step 5: Solve for x
    x = 2,562,868.76/1,398.14
  6. Step 6: Final answer
    x = 1,833.06

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.