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Finding the Fourth Proportional to 3,239, 4,470.04 and 1,980.30

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Solution

The fourth proportional to 3,239, 4,470.04 and 1,980.30 is: 2,732.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,239 : 4,470.04 = 1,980.30 : x
  2. Step 2: Convert to fraction form
    3,239/4,470.04 = 1,980.30/x
  3. Step 3: Cross multiply
    3,239x = 4,470.04 × 1,980.30
  4. Step 4: Simplify right side
    3,239x = 8,852,020.21
  5. Step 5: Solve for x
    x = 8,852,020.21/3,239
  6. Step 6: Final answer
    x = 2,732.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.