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Finding the Fourth Proportional to 1,589.49, 2,193.50 and 926.80

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Solution

The fourth proportional to 1,589.49, 2,193.50 and 926.80 is: 1,278.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.49 : 2,193.50 = 926.80 : x
  2. Step 2: Convert to fraction form
    1,589.49/2,193.50 = 926.80/x
  3. Step 3: Cross multiply
    1,589.49x = 2,193.50 × 926.80
  4. Step 4: Simplify right side
    1,589.49x = 2,032,932.63
  5. Step 5: Solve for x
    x = 2,032,932.63/1,589.49
  6. Step 6: Final answer
    x = 1,278.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.