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Finding the Fourth Proportional to 2,520.28, 3,478.01 and 1,525.57

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Solution

The fourth proportional to 2,520.28, 3,478.01 and 1,525.57 is: 2,105.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.28 : 3,478.01 = 1,525.57 : x
  2. Step 2: Convert to fraction form
    2,520.28/3,478.01 = 1,525.57/x
  3. Step 3: Cross multiply
    2,520.28x = 3,478.01 × 1,525.57
  4. Step 4: Simplify right side
    2,520.28x = 5,305,931.39
  5. Step 5: Solve for x
    x = 5,305,931.39/2,520.28
  6. Step 6: Final answer
    x = 2,105.29

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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.