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Finding the Fourth Proportional to 1,935.86, 2,901.24 and 895.73

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Solution

The fourth proportional to 1,935.86, 2,901.24 and 895.73 is: 1,342.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.86 : 2,901.24 = 895.73 : x
  2. Step 2: Convert to fraction form
    1,935.86/2,901.24 = 895.73/x
  3. Step 3: Cross multiply
    1,935.86x = 2,901.24 × 895.73
  4. Step 4: Simplify right side
    1,935.86x = 2,598,713.20
  5. Step 5: Solve for x
    x = 2,598,713.20/1,935.86
  6. Step 6: Final answer
    x = 1,342.41

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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.