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Finding the Fourth Proportional to 3,166.25, 4,751.00 and 1,411.79

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Solution

The fourth proportional to 3,166.25, 4,751.00 and 1,411.79 is: 2,118.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.25 : 4,751.00 = 1,411.79 : x
  2. Step 2: Convert to fraction form
    3,166.25/4,751.00 = 1,411.79/x
  3. Step 3: Cross multiply
    3,166.25x = 4,751.00 × 1,411.79
  4. Step 4: Simplify right side
    3,166.25x = 6,707,407.23
  5. Step 5: Solve for x
    x = 6,707,407.23/3,166.25
  6. Step 6: Final answer
    x = 2,118.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.