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Finding the Fourth Proportional to 2,933.96, 4,400.12 and 985.10

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Solution

The fourth proportional to 2,933.96, 4,400.12 and 985.10 is: 1,477.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,933.96 : 4,400.12 = 985.10 : x
  2. Step 2: Convert to fraction form
    2,933.96/4,400.12 = 985.10/x
  3. Step 3: Cross multiply
    2,933.96x = 4,400.12 × 985.10
  4. Step 4: Simplify right side
    2,933.96x = 4,334,538.67
  5. Step 5: Solve for x
    x = 4,334,538.67/2,933.96
  6. Step 6: Final answer
    x = 1,477.37

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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.