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Finding the Fourth Proportional to 3,375, 4,657.59 and 1,882.98

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Solution

The fourth proportional to 3,375, 4,657.59 and 1,882.98 is: 2,598.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,375 : 4,657.59 = 1,882.98 : x
  2. Step 2: Convert to fraction form
    3,375/4,657.59 = 1,882.98/x
  3. Step 3: Cross multiply
    3,375x = 4,657.59 × 1,882.98
  4. Step 4: Simplify right side
    3,375x = 8,770,148.82
  5. Step 5: Solve for x
    x = 8,770,148.82/3,375
  6. Step 6: Final answer
    x = 2,598.56

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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.