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Finding the Fourth Proportional to 3,314.72, 4,973.36 and 1,464.54

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Solution

The fourth proportional to 3,314.72, 4,973.36 and 1,464.54 is: 2,197.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.72 : 4,973.36 = 1,464.54 : x
  2. Step 2: Convert to fraction form
    3,314.72/4,973.36 = 1,464.54/x
  3. Step 3: Cross multiply
    3,314.72x = 4,973.36 × 1,464.54
  4. Step 4: Simplify right side
    3,314.72x = 7,283,684.65
  5. Step 5: Solve for x
    x = 7,283,684.65/3,314.72
  6. Step 6: Final answer
    x = 2,197.38

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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.