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Finding the Fourth Proportional to 7,228.91, 10,842.81 and 2,034.11

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Solution

The fourth proportional to 7,228.91, 10,842.81 and 2,034.11 is: 3,051.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.91 : 10,842.81 = 2,034.11 : x
  2. Step 2: Convert to fraction form
    7,228.91/10,842.81 = 2,034.11/x
  3. Step 3: Cross multiply
    7,228.91x = 10,842.81 × 2,034.11
  4. Step 4: Simplify right side
    7,228.91x = 22,055,414.04
  5. Step 5: Solve for x
    x = 22,055,414.04/7,228.91
  6. Step 6: Final answer
    x = 3,051.00

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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.