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Finding the Fourth Proportional to 1,625.94, 2,438.96 and 515.36

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Solution

The fourth proportional to 1,625.94, 2,438.96 and 515.36 is: 773.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.94 : 2,438.96 = 515.36 : x
  2. Step 2: Convert to fraction form
    1,625.94/2,438.96 = 515.36/x
  3. Step 3: Cross multiply
    1,625.94x = 2,438.96 × 515.36
  4. Step 4: Simplify right side
    1,625.94x = 1,256,945.95
  5. Step 5: Solve for x
    x = 1,256,945.95/1,625.94
  6. Step 6: Final answer
    x = 773.06

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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.