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Finding the Fourth Proportional to 2,516.49, 3,775.10 and 785.25

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Solution

The fourth proportional to 2,516.49, 3,775.10 and 785.25 is: 1,177.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.49 : 3,775.10 = 785.25 : x
  2. Step 2: Convert to fraction form
    2,516.49/3,775.10 = 785.25/x
  3. Step 3: Cross multiply
    2,516.49x = 3,775.10 × 785.25
  4. Step 4: Simplify right side
    2,516.49x = 2,964,393.35
  5. Step 5: Solve for x
    x = 2,964,393.35/2,516.49
  6. Step 6: Final answer
    x = 1,177.99

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Why These Related Problems?

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