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Finding the Fourth Proportional to 3,290, 4,935.86 and 981.50

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Solution

The fourth proportional to 3,290, 4,935.86 and 981.50 is: 1,472.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290 : 4,935.86 = 981.50 : x
  2. Step 2: Convert to fraction form
    3,290/4,935.86 = 981.50/x
  3. Step 3: Cross multiply
    3,290x = 4,935.86 × 981.50
  4. Step 4: Simplify right side
    3,290x = 4,844,541.68
  5. Step 5: Solve for x
    x = 4,844,541.68/3,290
  6. Step 6: Final answer
    x = 1,472.51

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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.