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Finding the Fourth Proportional to 2,516.88, 3,776.13 and 1,219.26

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Solution

The fourth proportional to 2,516.88, 3,776.13 and 1,219.26 is: 1,829.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.88 : 3,776.13 = 1,219.26 : x
  2. Step 2: Convert to fraction form
    2,516.88/3,776.13 = 1,219.26/x
  3. Step 3: Cross multiply
    2,516.88x = 3,776.13 × 1,219.26
  4. Step 4: Simplify right side
    2,516.88x = 4,604,084.26
  5. Step 5: Solve for x
    x = 4,604,084.26/2,516.88
  6. Step 6: Final answer
    x = 1,829.28

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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.