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Finding the Fourth Proportional to 3,166.75, 4,751.75 and 1,412.29

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Solution

The fourth proportional to 3,166.75, 4,751.75 and 1,412.29 is: 2,119.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.75 : 4,751.75 = 1,412.29 : x
  2. Step 2: Convert to fraction form
    3,166.75/4,751.75 = 1,412.29/x
  3. Step 3: Cross multiply
    3,166.75x = 4,751.75 × 1,412.29
  4. Step 4: Simplify right side
    3,166.75x = 6,710,841.95
  5. Step 5: Solve for x
    x = 6,710,841.95/3,166.75
  6. Step 6: Final answer
    x = 2,119.16

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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.