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Finding the Fourth Proportional to 3,166.97, 4,751.06 and 975.31

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Solution

The fourth proportional to 3,166.97, 4,751.06 and 975.31 is: 1,463.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.97 : 4,751.06 = 975.31 : x
  2. Step 2: Convert to fraction form
    3,166.97/4,751.06 = 975.31/x
  3. Step 3: Cross multiply
    3,166.97x = 4,751.06 × 975.31
  4. Step 4: Simplify right side
    3,166.97x = 4,633,739.57
  5. Step 5: Solve for x
    x = 4,633,739.57/3,166.97
  6. Step 6: Final answer
    x = 1,463.15

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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.