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Finding the Fourth Proportional to 2,145.86, 2,961.24 and 1,201.70

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Solution

The fourth proportional to 2,145.86, 2,961.24 and 1,201.70 is: 1,658.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.86 : 2,961.24 = 1,201.70 : x
  2. Step 2: Convert to fraction form
    2,145.86/2,961.24 = 1,201.70/x
  3. Step 3: Cross multiply
    2,145.86x = 2,961.24 × 1,201.70
  4. Step 4: Simplify right side
    2,145.86x = 3,558,522.11
  5. Step 5: Solve for x
    x = 3,558,522.11/2,145.86
  6. Step 6: Final answer
    x = 1,658.32

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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.