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Finding the Fourth Proportional to 2,832.80, 4,249.66 and 985.01

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Solution

The fourth proportional to 2,832.80, 4,249.66 and 985.01 is: 1,477.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.80 : 4,249.66 = 985.01 : x
  2. Step 2: Convert to fraction form
    2,832.80/4,249.66 = 985.01/x
  3. Step 3: Cross multiply
    2,832.80x = 4,249.66 × 985.01
  4. Step 4: Simplify right side
    2,832.80x = 4,185,957.60
  5. Step 5: Solve for x
    x = 4,185,957.60/2,832.80
  6. Step 6: Final answer
    x = 1,477.67

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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.