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Finding the Fourth Proportional to 2,329.13, 3,493.13 and 942.05

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Solution

The fourth proportional to 2,329.13, 3,493.13 and 942.05 is: 1,412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.13 : 3,493.13 = 942.05 : x
  2. Step 2: Convert to fraction form
    2,329.13/3,493.13 = 942.05/x
  3. Step 3: Cross multiply
    2,329.13x = 3,493.13 × 942.05
  4. Step 4: Simplify right side
    2,329.13x = 3,290,707.14
  5. Step 5: Solve for x
    x = 3,290,707.14/2,329.13
  6. Step 6: Final answer
    x = 1,412.85

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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.