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Finding the Fourth Proportional to 3,420.45, 4,718.12 and 2,023.20

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Solution

The fourth proportional to 3,420.45, 4,718.12 and 2,023.20 is: 2,790.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.45 : 4,718.12 = 2,023.20 : x
  2. Step 2: Convert to fraction form
    3,420.45/4,718.12 = 2,023.20/x
  3. Step 3: Cross multiply
    3,420.45x = 4,718.12 × 2,023.20
  4. Step 4: Simplify right side
    3,420.45x = 9,545,690.27
  5. Step 5: Solve for x
    x = 9,545,690.27/3,420.45
  6. Step 6: Final answer
    x = 2,790.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.