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Finding the Fourth Proportional to 2,376, 3,556.80 and 1,634.04

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Solution

The fourth proportional to 2,376, 3,556.80 and 1,634.04 is: 2,446.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376 : 3,556.80 = 1,634.04 : x
  2. Step 2: Convert to fraction form
    2,376/3,556.80 = 1,634.04/x
  3. Step 3: Cross multiply
    2,376x = 3,556.80 × 1,634.04
  4. Step 4: Simplify right side
    2,376x = 5,811,953.47
  5. Step 5: Solve for x
    x = 5,811,953.47/2,376
  6. Step 6: Final answer
    x = 2,446.11

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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.