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Finding the Fourth Proportional to 2,516.90, 3,775.96 and 1,055.24

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Solution

The fourth proportional to 2,516.90, 3,775.96 and 1,055.24 is: 1,583.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.90 : 3,775.96 = 1,055.24 : x
  2. Step 2: Convert to fraction form
    2,516.90/3,775.96 = 1,055.24/x
  3. Step 3: Cross multiply
    2,516.90x = 3,775.96 × 1,055.24
  4. Step 4: Simplify right side
    2,516.90x = 3,984,544.03
  5. Step 5: Solve for x
    x = 3,984,544.03/2,516.90
  6. Step 6: Final answer
    x = 1,583.12

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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.