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Finding the Fourth Proportional to 2,625.76, 3,938.37 and 894.25

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Solution

The fourth proportional to 2,625.76, 3,938.37 and 894.25 is: 1,341.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.76 : 3,938.37 = 894.25 : x
  2. Step 2: Convert to fraction form
    2,625.76/3,938.37 = 894.25/x
  3. Step 3: Cross multiply
    2,625.76x = 3,938.37 × 894.25
  4. Step 4: Simplify right side
    2,625.76x = 3,521,887.37
  5. Step 5: Solve for x
    x = 3,521,887.37/2,625.76
  6. Step 6: Final answer
    x = 1,341.28

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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.