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Finding the Fourth Proportional to 3,063.90, 4,228 and 1,737.52

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Solution

The fourth proportional to 3,063.90, 4,228 and 1,737.52 is: 2,397.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,063.90 : 4,228 = 1,737.52 : x
  2. Step 2: Convert to fraction form
    3,063.90/4,228 = 1,737.52/x
  3. Step 3: Cross multiply
    3,063.90x = 4,228 × 1,737.52
  4. Step 4: Simplify right side
    3,063.90x = 7,346,234.56
  5. Step 5: Solve for x
    x = 7,346,234.56/3,063.90
  6. Step 6: Final answer
    x = 2,397.67

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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.