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Finding the Fourth Proportional to 2,829.46, 4,244.19 and 777.46

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Solution

The fourth proportional to 2,829.46, 4,244.19 and 777.46 is: 1,166.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.46 : 4,244.19 = 777.46 : x
  2. Step 2: Convert to fraction form
    2,829.46/4,244.19 = 777.46/x
  3. Step 3: Cross multiply
    2,829.46x = 4,244.19 × 777.46
  4. Step 4: Simplify right side
    2,829.46x = 3,299,687.96
  5. Step 5: Solve for x
    x = 3,299,687.96/2,829.46
  6. Step 6: Final answer
    x = 1,166.19

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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.