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Finding the Fourth Proportional to 2,932.49, 4,398.74 and 984.70

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Solution

The fourth proportional to 2,932.49, 4,398.74 and 984.70 is: 1,477.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.49 : 4,398.74 = 984.70 : x
  2. Step 2: Convert to fraction form
    2,932.49/4,398.74 = 984.70/x
  3. Step 3: Cross multiply
    2,932.49x = 4,398.74 × 984.70
  4. Step 4: Simplify right side
    2,932.49x = 4,331,439.28
  5. Step 5: Solve for x
    x = 4,331,439.28/2,932.49
  6. Step 6: Final answer
    x = 1,477.05

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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.