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Finding the Fourth Proportional to 2,516.46, 3,775.41 and 1,218.66

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Solution

The fourth proportional to 2,516.46, 3,775.41 and 1,218.66 is: 1,828.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.46 : 3,775.41 = 1,218.66 : x
  2. Step 2: Convert to fraction form
    2,516.46/3,775.41 = 1,218.66/x
  3. Step 3: Cross multiply
    2,516.46x = 3,775.41 × 1,218.66
  4. Step 4: Simplify right side
    2,516.46x = 4,600,941.15
  5. Step 5: Solve for x
    x = 4,600,941.15/2,516.46
  6. Step 6: Final answer
    x = 1,828.34

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