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Finding the Fourth Proportional to 2,422.92, 3,627.90 and 2,051.40

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Solution

The fourth proportional to 2,422.92, 3,627.90 and 2,051.40 is: 3,071.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.92 : 3,627.90 = 2,051.40 : x
  2. Step 2: Convert to fraction form
    2,422.92/3,627.90 = 2,051.40/x
  3. Step 3: Cross multiply
    2,422.92x = 3,627.90 × 2,051.40
  4. Step 4: Simplify right side
    2,422.92x = 7,442,274.06
  5. Step 5: Solve for x
    x = 7,442,274.06/2,422.92
  6. Step 6: Final answer
    x = 3,071.61

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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.