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Finding the Fourth Proportional to 2,507.44, 3,761.13 and 1,026.35

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Solution

The fourth proportional to 2,507.44, 3,761.13 and 1,026.35 is: 1,539.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.44 : 3,761.13 = 1,026.35 : x
  2. Step 2: Convert to fraction form
    2,507.44/3,761.13 = 1,026.35/x
  3. Step 3: Cross multiply
    2,507.44x = 3,761.13 × 1,026.35
  4. Step 4: Simplify right side
    2,507.44x = 3,860,235.78
  5. Step 5: Solve for x
    x = 3,860,235.78/2,507.44
  6. Step 6: Final answer
    x = 1,539.51

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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.