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Finding the Fourth Proportional to 3,316.70, 4,577 and 1,824.58

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Solution

The fourth proportional to 3,316.70, 4,577 and 1,824.58 is: 2,517.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,316.70 : 4,577 = 1,824.58 : x
  2. Step 2: Convert to fraction form
    3,316.70/4,577 = 1,824.58/x
  3. Step 3: Cross multiply
    3,316.70x = 4,577 × 1,824.58
  4. Step 4: Simplify right side
    3,316.70x = 8,351,102.66
  5. Step 5: Solve for x
    x = 8,351,102.66/3,316.70
  6. Step 6: Final answer
    x = 2,517.90

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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.