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Finding the Fourth Proportional to 2,824.21, 4,236.56 and 974.58

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Solution

The fourth proportional to 2,824.21, 4,236.56 and 974.58 is: 1,461.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.21 : 4,236.56 = 974.58 : x
  2. Step 2: Convert to fraction form
    2,824.21/4,236.56 = 974.58/x
  3. Step 3: Cross multiply
    2,824.21x = 4,236.56 × 974.58
  4. Step 4: Simplify right side
    2,824.21x = 4,128,866.64
  5. Step 5: Solve for x
    x = 4,128,866.64/2,824.21
  6. Step 6: Final answer
    x = 1,461.95

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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.