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Finding the Fourth Proportional to 2,936.76, 4,405.68 and 989.16

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Solution

The fourth proportional to 2,936.76, 4,405.68 and 989.16 is: 1,483.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936.76 : 4,405.68 = 989.16 : x
  2. Step 2: Convert to fraction form
    2,936.76/4,405.68 = 989.16/x
  3. Step 3: Cross multiply
    2,936.76x = 4,405.68 × 989.16
  4. Step 4: Simplify right side
    2,936.76x = 4,357,922.43
  5. Step 5: Solve for x
    x = 4,357,922.43/2,936.76
  6. Step 6: Final answer
    x = 1,483.92

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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.