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Finding the Fourth Proportional to 2,555, 3,525.90 and 1,451

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Solution

The fourth proportional to 2,555, 3,525.90 and 1,451 is: 2,002.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,555 : 3,525.90 = 1,451 : x
  2. Step 2: Convert to fraction form
    2,555/3,525.90 = 1,451/x
  3. Step 3: Cross multiply
    2,555x = 3,525.90 × 1,451
  4. Step 4: Simplify right side
    2,555x = 5,116,080.90
  5. Step 5: Solve for x
    x = 5,116,080.90/2,555
  6. Step 6: Final answer
    x = 2,002.38

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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.