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Finding the Fourth Proportional to 2,348.25, 3,522.96 and 887.41

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Solution

The fourth proportional to 2,348.25, 3,522.96 and 887.41 is: 1,331.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.25 : 3,522.96 = 887.41 : x
  2. Step 2: Convert to fraction form
    2,348.25/3,522.96 = 887.41/x
  3. Step 3: Cross multiply
    2,348.25x = 3,522.96 × 887.41
  4. Step 4: Simplify right side
    2,348.25x = 3,126,309.93
  5. Step 5: Solve for x
    x = 3,126,309.93/2,348.25
  6. Step 6: Final answer
    x = 1,331.34

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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.