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Finding the Fourth Proportional to 2,513.56, 3,465.70 and 2,375

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Solution

The fourth proportional to 2,513.56, 3,465.70 and 2,375 is: 3,274.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.56 : 3,465.70 = 2,375 : x
  2. Step 2: Convert to fraction form
    2,513.56/3,465.70 = 2,375/x
  3. Step 3: Cross multiply
    2,513.56x = 3,465.70 × 2,375
  4. Step 4: Simplify right side
    2,513.56x = 8,231,037.50
  5. Step 5: Solve for x
    x = 8,231,037.50/2,513.56
  6. Step 6: Final answer
    x = 3,274.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.