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Finding the Fourth Proportional to 2,471.63, 3,410.84 and 1,423.69

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Solution

The fourth proportional to 2,471.63, 3,410.84 and 1,423.69 is: 1,964.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.63 : 3,410.84 = 1,423.69 : x
  2. Step 2: Convert to fraction form
    2,471.63/3,410.84 = 1,423.69/x
  3. Step 3: Cross multiply
    2,471.63x = 3,410.84 × 1,423.69
  4. Step 4: Simplify right side
    2,471.63x = 4,855,973.83
  5. Step 5: Solve for x
    x = 4,855,973.83/2,471.63
  6. Step 6: Final answer
    x = 1,964.69

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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.