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Finding the Fourth Proportional to 2,473.98, 3,410.67 and 2,397.30

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Solution

The fourth proportional to 2,473.98, 3,410.67 and 2,397.30 is: 3,304.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.98 : 3,410.67 = 2,397.30 : x
  2. Step 2: Convert to fraction form
    2,473.98/3,410.67 = 2,397.30/x
  3. Step 3: Cross multiply
    2,473.98x = 3,410.67 × 2,397.30
  4. Step 4: Simplify right side
    2,473.98x = 8,176,399.19
  5. Step 5: Solve for x
    x = 8,176,399.19/2,473.98
  6. Step 6: Final answer
    x = 3,304.96

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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.