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Finding the Fourth Proportional to 2,155.22, 3,232.62 and 985.16

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Solution

The fourth proportional to 2,155.22, 3,232.62 and 985.16 is: 1,477.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.22 : 3,232.62 = 985.16 : x
  2. Step 2: Convert to fraction form
    2,155.22/3,232.62 = 985.16/x
  3. Step 3: Cross multiply
    2,155.22x = 3,232.62 × 985.16
  4. Step 4: Simplify right side
    2,155.22x = 3,184,647.92
  5. Step 5: Solve for x
    x = 3,184,647.92/2,155.22
  6. Step 6: Final answer
    x = 1,477.64

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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.