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Finding the Fourth Proportional to 2,584.88, 3,875.02 and 941.12

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Solution

The fourth proportional to 2,584.88, 3,875.02 and 941.12 is: 1,410.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.88 : 3,875.02 = 941.12 : x
  2. Step 2: Convert to fraction form
    2,584.88/3,875.02 = 941.12/x
  3. Step 3: Cross multiply
    2,584.88x = 3,875.02 × 941.12
  4. Step 4: Simplify right side
    2,584.88x = 3,646,858.82
  5. Step 5: Solve for x
    x = 3,646,858.82/2,584.88
  6. Step 6: Final answer
    x = 1,410.84

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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.