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Finding the Fourth Proportional to 2,915.14, 4,024.38 and 1,975.90

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Solution

The fourth proportional to 2,915.14, 4,024.38 and 1,975.90 is: 2,727.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,915.14 : 4,024.38 = 1,975.90 : x
  2. Step 2: Convert to fraction form
    2,915.14/4,024.38 = 1,975.90/x
  3. Step 3: Cross multiply
    2,915.14x = 4,024.38 × 1,975.90
  4. Step 4: Simplify right side
    2,915.14x = 7,951,752.32
  5. Step 5: Solve for x
    x = 7,951,752.32/2,915.14
  6. Step 6: Final answer
    x = 2,727.74

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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.