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Finding the Fourth Proportional to 2,153.45, 3,232.04 and 985.23

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Solution

The fourth proportional to 2,153.45, 3,232.04 and 985.23 is: 1,478.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.45 : 3,232.04 = 985.23 : x
  2. Step 2: Convert to fraction form
    2,153.45/3,232.04 = 985.23/x
  3. Step 3: Cross multiply
    2,153.45x = 3,232.04 × 985.23
  4. Step 4: Simplify right side
    2,153.45x = 3,184,297.84
  5. Step 5: Solve for x
    x = 3,184,297.84/2,153.45
  6. Step 6: Final answer
    x = 1,478.69

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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.