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Finding the Fourth Proportional to 2,824.55, 4,236.45 and 744.57

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Solution

The fourth proportional to 2,824.55, 4,236.45 and 744.57 is: 1,116.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.55 : 4,236.45 = 744.57 : x
  2. Step 2: Convert to fraction form
    2,824.55/4,236.45 = 744.57/x
  3. Step 3: Cross multiply
    2,824.55x = 4,236.45 × 744.57
  4. Step 4: Simplify right side
    2,824.55x = 3,154,333.58
  5. Step 5: Solve for x
    x = 3,154,333.58/2,824.55
  6. Step 6: Final answer
    x = 1,116.76

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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.