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Finding the Fourth Proportional to 2,531.88, 3,796.86 and 1,437

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Solution

The fourth proportional to 2,531.88, 3,796.86 and 1,437 is: 2,154.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.88 : 3,796.86 = 1,437 : x
  2. Step 2: Convert to fraction form
    2,531.88/3,796.86 = 1,437/x
  3. Step 3: Cross multiply
    2,531.88x = 3,796.86 × 1,437
  4. Step 4: Simplify right side
    2,531.88x = 5,456,087.82
  5. Step 5: Solve for x
    x = 5,456,087.82/2,531.88
  6. Step 6: Final answer
    x = 2,154.96

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