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Finding the Fourth Proportional to 2,371, 3,556.46 and 1,956.28

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Solution

The fourth proportional to 2,371, 3,556.46 and 1,956.28 is: 2,934.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371 : 3,556.46 = 1,956.28 : x
  2. Step 2: Convert to fraction form
    2,371/3,556.46 = 1,956.28/x
  3. Step 3: Cross multiply
    2,371x = 3,556.46 × 1,956.28
  4. Step 4: Simplify right side
    2,371x = 6,957,431.57
  5. Step 5: Solve for x
    x = 6,957,431.57/2,371
  6. Step 6: Final answer
    x = 2,934.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.