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Finding the Fourth Proportional to 2,471.51, 3,704.13 and 2,406.92

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Solution

The fourth proportional to 2,471.51, 3,704.13 and 2,406.92 is: 3,607.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.51 : 3,704.13 = 2,406.92 : x
  2. Step 2: Convert to fraction form
    2,471.51/3,704.13 = 2,406.92/x
  3. Step 3: Cross multiply
    2,471.51x = 3,704.13 × 2,406.92
  4. Step 4: Simplify right side
    2,471.51x = 8,915,526.06
  5. Step 5: Solve for x
    x = 8,915,526.06/2,471.51
  6. Step 6: Final answer
    x = 3,607.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.