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Finding the Fourth Proportional to 2,516.69, 3,473.43 and 2,405.96

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Solution

The fourth proportional to 2,516.69, 3,473.43 and 2,405.96 is: 3,320.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.69 : 3,473.43 = 2,405.96 : x
  2. Step 2: Convert to fraction form
    2,516.69/3,473.43 = 2,405.96/x
  3. Step 3: Cross multiply
    2,516.69x = 3,473.43 × 2,405.96
  4. Step 4: Simplify right side
    2,516.69x = 8,356,933.64
  5. Step 5: Solve for x
    x = 8,356,933.64/2,516.69
  6. Step 6: Final answer
    x = 3,320.61

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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.