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Finding the Fourth Proportional to 1,403.21, 1,934.39 and 982.25

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Solution

The fourth proportional to 1,403.21, 1,934.39 and 982.25 is: 1,354.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.21 : 1,934.39 = 982.25 : x
  2. Step 2: Convert to fraction form
    1,403.21/1,934.39 = 982.25/x
  3. Step 3: Cross multiply
    1,403.21x = 1,934.39 × 982.25
  4. Step 4: Simplify right side
    1,403.21x = 1,900,039.99
  5. Step 5: Solve for x
    x = 1,900,039.99/1,403.21
  6. Step 6: Final answer
    x = 1,354.07

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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.