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Finding the Fourth Proportional to 2,376, 3,565.26 and 1,221.84

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Solution

The fourth proportional to 2,376, 3,565.26 and 1,221.84 is: 1,833.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376 : 3,565.26 = 1,221.84 : x
  2. Step 2: Convert to fraction form
    2,376/3,565.26 = 1,221.84/x
  3. Step 3: Cross multiply
    2,376x = 3,565.26 × 1,221.84
  4. Step 4: Simplify right side
    2,376x = 4,356,177.28
  5. Step 5: Solve for x
    x = 4,356,177.28/2,376
  6. Step 6: Final answer
    x = 1,833.41

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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.