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Finding the Fourth Proportional to 3,214.42, 4,821.80 and 1,023.32

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Solution

The fourth proportional to 3,214.42, 4,821.80 and 1,023.32 is: 1,535.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.42 : 4,821.80 = 1,023.32 : x
  2. Step 2: Convert to fraction form
    3,214.42/4,821.80 = 1,023.32/x
  3. Step 3: Cross multiply
    3,214.42x = 4,821.80 × 1,023.32
  4. Step 4: Simplify right side
    3,214.42x = 4,934,244.38
  5. Step 5: Solve for x
    x = 4,934,244.38/3,214.42
  6. Step 6: Final answer
    x = 1,535.03

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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.