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Finding the Fourth Proportional to 2,625.47, 3,938.27 and 895.31

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Solution

The fourth proportional to 2,625.47, 3,938.27 and 895.31 is: 1,342.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.47 : 3,938.27 = 895.31 : x
  2. Step 2: Convert to fraction form
    2,625.47/3,938.27 = 895.31/x
  3. Step 3: Cross multiply
    2,625.47x = 3,938.27 × 895.31
  4. Step 4: Simplify right side
    2,625.47x = 3,525,974.75
  5. Step 5: Solve for x
    x = 3,525,974.75/2,625.47
  6. Step 6: Final answer
    x = 1,342.99

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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.