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Finding the Fourth Proportional to 3,289.84, 4,934.64 and 981.28

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Solution

The fourth proportional to 3,289.84, 4,934.64 and 981.28 is: 1,471.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.84 : 4,934.64 = 981.28 : x
  2. Step 2: Convert to fraction form
    3,289.84/4,934.64 = 981.28/x
  3. Step 3: Cross multiply
    3,289.84x = 4,934.64 × 981.28
  4. Step 4: Simplify right side
    3,289.84x = 4,842,263.54
  5. Step 5: Solve for x
    x = 4,842,263.54/3,289.84
  6. Step 6: Final answer
    x = 1,471.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.