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Finding the Fourth Proportional to 3,197.10, 4,794.42 and 975.51

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Solution

The fourth proportional to 3,197.10, 4,794.42 and 975.51 is: 1,462.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.10 : 4,794.42 = 975.51 : x
  2. Step 2: Convert to fraction form
    3,197.10/4,794.42 = 975.51/x
  3. Step 3: Cross multiply
    3,197.10x = 4,794.42 × 975.51
  4. Step 4: Simplify right side
    3,197.10x = 4,677,004.65
  5. Step 5: Solve for x
    x = 4,677,004.65/3,197.10
  6. Step 6: Final answer
    x = 1,462.89

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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.