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Finding the Fourth Proportional to 2,959.68, 4,438.44 and 984.96

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Solution

The fourth proportional to 2,959.68, 4,438.44 and 984.96 is: 1,477.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.68 : 4,438.44 = 984.96 : x
  2. Step 2: Convert to fraction form
    2,959.68/4,438.44 = 984.96/x
  3. Step 3: Cross multiply
    2,959.68x = 4,438.44 × 984.96
  4. Step 4: Simplify right side
    2,959.68x = 4,371,685.86
  5. Step 5: Solve for x
    x = 4,371,685.86/2,959.68
  6. Step 6: Final answer
    x = 1,477.08

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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.