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Finding the Fourth Proportional to 2,973.46, 4,452.90 and 2,046.42

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Solution

The fourth proportional to 2,973.46, 4,452.90 and 2,046.42 is: 3,064.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.46 : 4,452.90 = 2,046.42 : x
  2. Step 2: Convert to fraction form
    2,973.46/4,452.90 = 2,046.42/x
  3. Step 3: Cross multiply
    2,973.46x = 4,452.90 × 2,046.42
  4. Step 4: Simplify right side
    2,973.46x = 9,112,503.62
  5. Step 5: Solve for x
    x = 9,112,503.62/2,973.46
  6. Step 6: Final answer
    x = 3,064.61

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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.