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Finding the Fourth Proportional to 2,471.45, 3,410.91 and 1,423.51

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Solution

The fourth proportional to 2,471.45, 3,410.91 and 1,423.51 is: 1,964.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.45 : 3,410.91 = 1,423.51 : x
  2. Step 2: Convert to fraction form
    2,471.45/3,410.91 = 1,423.51/x
  3. Step 3: Cross multiply
    2,471.45x = 3,410.91 × 1,423.51
  4. Step 4: Simplify right side
    2,471.45x = 4,855,455.97
  5. Step 5: Solve for x
    x = 4,855,455.97/2,471.45
  6. Step 6: Final answer
    x = 1,964.62

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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.