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Finding the Fourth Proportional to 3,121.09, 4,680.86 and 929.82

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Solution

The fourth proportional to 3,121.09, 4,680.86 and 929.82 is: 1,394.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.09 : 4,680.86 = 929.82 : x
  2. Step 2: Convert to fraction form
    3,121.09/4,680.86 = 929.82/x
  3. Step 3: Cross multiply
    3,121.09x = 4,680.86 × 929.82
  4. Step 4: Simplify right side
    3,121.09x = 4,352,345.08
  5. Step 5: Solve for x
    x = 4,352,345.08/3,121.09
  6. Step 6: Final answer
    x = 1,394.50

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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.