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Finding the Fourth Proportional to 3,214.85, 4,823.01 and 1,023.57

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Solution

The fourth proportional to 3,214.85, 4,823.01 and 1,023.57 is: 1,535.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.85 : 4,823.01 = 1,023.57 : x
  2. Step 2: Convert to fraction form
    3,214.85/4,823.01 = 1,023.57/x
  3. Step 3: Cross multiply
    3,214.85x = 4,823.01 × 1,023.57
  4. Step 4: Simplify right side
    3,214.85x = 4,936,688.35
  5. Step 5: Solve for x
    x = 4,936,688.35/3,214.85
  6. Step 6: Final answer
    x = 1,535.59

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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.