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Finding the Fourth Proportional to 3,314.66, 4,973.08 and 1,367.42

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Solution

The fourth proportional to 3,314.66, 4,973.08 and 1,367.42 is: 2,051.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.66 : 4,973.08 = 1,367.42 : x
  2. Step 2: Convert to fraction form
    3,314.66/4,973.08 = 1,367.42/x
  3. Step 3: Cross multiply
    3,314.66x = 4,973.08 × 1,367.42
  4. Step 4: Simplify right side
    3,314.66x = 6,800,289.05
  5. Step 5: Solve for x
    x = 6,800,289.05/3,314.66
  6. Step 6: Final answer
    x = 2,051.58

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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.