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Finding the Fourth Proportional to 1,398.30, 2,093.40 and 936.60

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Solution

The fourth proportional to 1,398.30, 2,093.40 and 936.60 is: 1,402.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.30 : 2,093.40 = 936.60 : x
  2. Step 2: Convert to fraction form
    1,398.30/2,093.40 = 936.60/x
  3. Step 3: Cross multiply
    1,398.30x = 2,093.40 × 936.60
  4. Step 4: Simplify right side
    1,398.30x = 1,960,678.44
  5. Step 5: Solve for x
    x = 1,960,678.44/1,398.30
  6. Step 6: Final answer
    x = 1,402.19

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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.