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Finding the Fourth Proportional to 3,143, 4,732.82 and 2,327.06

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Solution

The fourth proportional to 3,143, 4,732.82 and 2,327.06 is: 3,504.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143 : 4,732.82 = 2,327.06 : x
  2. Step 2: Convert to fraction form
    3,143/4,732.82 = 2,327.06/x
  3. Step 3: Cross multiply
    3,143x = 4,732.82 × 2,327.06
  4. Step 4: Simplify right side
    3,143x = 11,013,556.11
  5. Step 5: Solve for x
    x = 11,013,556.11/3,143
  6. Step 6: Final answer
    x = 3,504.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.