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Finding the Fourth Proportional to 3,057.82, 4,219.86 and 1,731.67

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Solution

The fourth proportional to 3,057.82, 4,219.86 and 1,731.67 is: 2,389.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.82 : 4,219.86 = 1,731.67 : x
  2. Step 2: Convert to fraction form
    3,057.82/4,219.86 = 1,731.67/x
  3. Step 3: Cross multiply
    3,057.82x = 4,219.86 × 1,731.67
  4. Step 4: Simplify right side
    3,057.82x = 7,307,404.97
  5. Step 5: Solve for x
    x = 7,307,404.97/3,057.82
  6. Step 6: Final answer
    x = 2,389.74

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1.5x scale

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.