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Finding the Fourth Proportional to 2,673.75, 4,007.14 and 1,935.86

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Solution

The fourth proportional to 2,673.75, 4,007.14 and 1,935.86 is: 2,901.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.75 : 4,007.14 = 1,935.86 : x
  2. Step 2: Convert to fraction form
    2,673.75/4,007.14 = 1,935.86/x
  3. Step 3: Cross multiply
    2,673.75x = 4,007.14 × 1,935.86
  4. Step 4: Simplify right side
    2,673.75x = 7,757,237.17
  5. Step 5: Solve for x
    x = 7,757,237.17/2,673.75
  6. Step 6: Final answer
    x = 2,901.25

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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.