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Finding the Fourth Proportional to 2,516.40, 3,776.07 and 1,055.43

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Solution

The fourth proportional to 2,516.40, 3,776.07 and 1,055.43 is: 1,583.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.40 : 3,776.07 = 1,055.43 : x
  2. Step 2: Convert to fraction form
    2,516.40/3,776.07 = 1,055.43/x
  3. Step 3: Cross multiply
    2,516.40x = 3,776.07 × 1,055.43
  4. Step 4: Simplify right side
    2,516.40x = 3,985,377.56
  5. Step 5: Solve for x
    x = 3,985,377.56/2,516.40
  6. Step 6: Final answer
    x = 1,583.76

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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.