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Finding the Fourth Proportional to 3,316.74, 4,974.90 and 1,467.30

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Solution

The fourth proportional to 3,316.74, 4,974.90 and 1,467.30 is: 2,200.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,316.74 : 4,974.90 = 1,467.30 : x
  2. Step 2: Convert to fraction form
    3,316.74/4,974.90 = 1,467.30/x
  3. Step 3: Cross multiply
    3,316.74x = 4,974.90 × 1,467.30
  4. Step 4: Simplify right side
    3,316.74x = 7,299,670.77
  5. Step 5: Solve for x
    x = 7,299,670.77/3,316.74
  6. Step 6: Final answer
    x = 2,200.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.