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Finding the Fourth Proportional to 2,531.67, 3,798.41 and 888.46

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Solution

The fourth proportional to 2,531.67, 3,798.41 and 888.46 is: 1,333.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.67 : 3,798.41 = 888.46 : x
  2. Step 2: Convert to fraction form
    2,531.67/3,798.41 = 888.46/x
  3. Step 3: Cross multiply
    2,531.67x = 3,798.41 × 888.46
  4. Step 4: Simplify right side
    2,531.67x = 3,374,735.35
  5. Step 5: Solve for x
    x = 3,374,735.35/2,531.67
  6. Step 6: Final answer
    x = 1,333.01

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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.