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Finding the Fourth Proportional to 2,516.25, 3,472.82 and 2,405.51

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Solution

The fourth proportional to 2,516.25, 3,472.82 and 2,405.51 is: 3,319.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.25 : 3,472.82 = 2,405.51 : x
  2. Step 2: Convert to fraction form
    2,516.25/3,472.82 = 2,405.51/x
  3. Step 3: Cross multiply
    2,516.25x = 3,472.82 × 2,405.51
  4. Step 4: Simplify right side
    2,516.25x = 8,353,903.24
  5. Step 5: Solve for x
    x = 8,353,903.24/2,516.25
  6. Step 6: Final answer
    x = 3,319.98

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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.