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Finding the Fourth Proportional to 2,471.31, 3,410.51 and 1,423.38

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Solution

The fourth proportional to 2,471.31, 3,410.51 and 1,423.38 is: 1,964.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.31 : 3,410.51 = 1,423.38 : x
  2. Step 2: Convert to fraction form
    2,471.31/3,410.51 = 1,423.38/x
  3. Step 3: Cross multiply
    2,471.31x = 3,410.51 × 1,423.38
  4. Step 4: Simplify right side
    2,471.31x = 4,854,438.23
  5. Step 5: Solve for x
    x = 4,854,438.23/2,471.31
  6. Step 6: Final answer
    x = 1,964.32

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Why These Related Problems?

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