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Finding the Fourth Proportional to 3,214.94, 4,823.24 and 1,023.68

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Solution

The fourth proportional to 3,214.94, 4,823.24 and 1,023.68 is: 1,535.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.94 : 4,823.24 = 1,023.68 : x
  2. Step 2: Convert to fraction form
    3,214.94/4,823.24 = 1,023.68/x
  3. Step 3: Cross multiply
    3,214.94x = 4,823.24 × 1,023.68
  4. Step 4: Simplify right side
    3,214.94x = 4,937,461.26
  5. Step 5: Solve for x
    x = 4,937,461.26/3,214.94
  6. Step 6: Final answer
    x = 1,535.79

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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.